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Subscription Cost worksheet

Grade 6 · CCSS 6.RP.A.3.b, 6.NS.B.3

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Subscription 1 price: $14 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $14 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $160 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $7.60 per month
    • I rarely use subscription 4: Yes
    • Years to total: 4
    • Return if the rarely used money were invested (optional): 3%

    Find: Total per month

  2. Problem 2.
    • Subscription 1 price: $16.50 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $14.25 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $160 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $9 per month
    • I rarely use subscription 4: Yes
    • Years to total: 4
    • Return if the rarely used money were invested (optional): 4%

    Find: Total per month

  3. Problem 3.
    • Subscription 1 price: $16 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $12 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $200 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $11.60 per month
    • I rarely use subscription 4: Yes
    • Years to total: 6
    • Return if the rarely used money were invested (optional): 6%

    Find: Total per month

  4. Problem 4.
    • Subscription 1 price: $19 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $9.50 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $150 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $11.75 per month
    • I rarely use subscription 4: Yes
    • Years to total: 5
    • Return if the rarely used money were invested (optional): 5%

    Find: Total per month

  5. Problem 5.
    • Subscription 1 price: $10 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $11 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $130 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $11.25 per month
    • I rarely use subscription 4: Yes
    • Years to total: 5
    • Return if the rarely used money were invested (optional): 5%

    Find: Total per month

  6. Problem 6.
    • Subscription 1 price: $17.50 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $10.50 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $180 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $10 per month
    • I rarely use subscription 4: Yes
    • Years to total: 4
    • Return if the rarely used money were invested (optional): 5%

    Find: Total per month

  7. Problem 7.
    • Subscription 1 price: $14 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $11 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $145 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $10 per month
    • I rarely use subscription 4: Yes
    • Years to total: 4
    • Return if the rarely used money were invested (optional): 4%

    Find: Total per month

  8. Problem 8.
    • Subscription 1 price: $15 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $12 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $110 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $9 per month
    • I rarely use subscription 4: Yes
    • Years to total: 6
    • Return if the rarely used money were invested (optional): 4%

    Find: Total per month

  9. Problem 9.
    • Subscription 1 price: $17 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $14.60 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $130 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $10.50 per month
    • I rarely use subscription 4: Yes
    • Years to total: 6
    • Return if the rarely used money were invested (optional): 4%

    Find: Total per month

  10. Problem 10.
    • Subscription 1 price: $15 per month
    • I rarely use subscription 1: No
    • Subscription 2 price: $8 per month
    • I rarely use subscription 2: No
    • Subscription 3 price: $180 per year
    • I rarely use subscription 3: No
    • Subscription 4 price: $11 per month
    • I rarely use subscription 4: Yes
    • Years to total: 5
    • Return if the rarely used money were invested (optional): 3%

    Find: Total per month

Answer key: Subscription Cost worksheet

  1. 1. Total per month: $48.93

    1. Turn subscription 3 ($160.00 a year) into a monthly cost, so it can be added to the others

      $160.0012=$13.33
    2. Add the 4 monthly costs

      $14.00+$14.00+$13.33+$7.60=$48.93
    3. Multiply by 12 months to get the yearly cost

      $48.93×12=$587.20
    4. Multiply by 4 for the cost over 4 years at today's prices

      $587.20×4=$2,348.80
    5. Find the yearly cost of the subscriptions you rarely use

      $7.60×12=$91.20
    6. If that $7.60 a month were invested instead at 3% a year (0.246627% a month), after 48 months it would grow to

      $7.60×1.125509−10.00246627=$386.77
  2. 2. Total per month: $53.08

    1. Turn subscription 3 ($160.00 a year) into a monthly cost, so it can be added to the others

      $160.0012=$13.33
    2. Add the 4 monthly costs

      $16.50+$14.25+$13.33+$9.00=$53.08
    3. Multiply by 12 months to get the yearly cost

      $53.08×12=$637.00
    4. Multiply by 4 for the cost over 4 years at today's prices

      $637.00×4=$2,548.00
    5. Find the yearly cost of the subscriptions you rarely use

      $9.00×12=$108.00
    6. If that $9.00 a month were invested instead at 4% a year (0.327374% a month), after 48 months it would grow to

      $9.00×1.169859−10.00327374=$466.97
  3. 3. Total per month: $56.27

    1. Turn subscription 3 ($200.00 a year) into a monthly cost, so it can be added to the others

      $200.0012=$16.67
    2. Add the 4 monthly costs

      $16.00+$12.00+$16.67+$11.60=$56.27
    3. Multiply by 12 months to get the yearly cost

      $56.27×12=$675.20
    4. Multiply by 6 for the cost over 6 years at today's prices

      $675.20×6=$4,051.20
    5. Find the yearly cost of the subscriptions you rarely use

      $11.60×12=$139.20
    6. If that $11.60 a month were invested instead at 6% a year (0.486755% a month), after 72 months it would grow to

      $11.60×1.418519−10.00486755=$997.38
  4. 4. Total per month: $52.75

    1. Turn subscription 3 ($150.00 a year) into a monthly cost, so it can be added to the others

      $150.0012=$12.50
    2. Add the 4 monthly costs

      $19.00+$9.50+$12.50+$11.75=$52.75
    3. Multiply by 12 months to get the yearly cost

      $52.75×12=$633.00
    4. Multiply by 5 for the cost over 5 years at today's prices

      $633.00×5=$3,165.00
    5. Find the yearly cost of the subscriptions you rarely use

      $11.75×12=$141.00
    6. If that $11.75 a month were invested instead at 5% a year (0.407412% a month), after 60 months it would grow to

      $11.75×1.276282−10.00407412=$796.81
  5. 5. Total per month: $43.08

    1. Turn subscription 3 ($130.00 a year) into a monthly cost, so it can be added to the others

      $130.0012=$10.83
    2. Add the 4 monthly costs

      $10.00+$11.00+$10.83+$11.25=$43.08
    3. Multiply by 12 months to get the yearly cost

      $43.08×12=$517.00
    4. Multiply by 5 for the cost over 5 years at today's prices

      $517.00×5=$2,585.00
    5. Find the yearly cost of the subscriptions you rarely use

      $11.25×12=$135.00
    6. If that $11.25 a month were invested instead at 5% a year (0.407412% a month), after 60 months it would grow to

      $11.25×1.276282−10.00407412=$762.90
  6. 6. Total per month: $53.00

    1. Turn subscription 3 ($180.00 a year) into a monthly cost, so it can be added to the others

      $180.0012=$15.00
    2. Add the 4 monthly costs

      $17.50+$10.50+$15.00+$10.00=$53.00
    3. Multiply by 12 months to get the yearly cost

      $53.00×12=$636.00
    4. Multiply by 4 for the cost over 4 years at today's prices

      $636.00×4=$2,544.00
    5. Find the yearly cost of the subscriptions you rarely use

      $10.00×12=$120.00
    6. If that $10.00 a month were invested instead at 5% a year (0.407412% a month), after 48 months it would grow to

      $10.00×1.215506−10.00407412=$528.96
  7. 7. Total per month: $47.08

    1. Turn subscription 3 ($145.00 a year) into a monthly cost, so it can be added to the others

      $145.0012=$12.08
    2. Add the 4 monthly costs

      $14.00+$11.00+$12.08+$10.00=$47.08
    3. Multiply by 12 months to get the yearly cost

      $47.08×12=$565.00
    4. Multiply by 4 for the cost over 4 years at today's prices

      $565.00×4=$2,260.00
    5. Find the yearly cost of the subscriptions you rarely use

      $10.00×12=$120.00
    6. If that $10.00 a month were invested instead at 4% a year (0.327374% a month), after 48 months it would grow to

      $10.00×1.169859−10.00327374=$518.85
  8. 8. Total per month: $45.17

    1. Turn subscription 3 ($110.00 a year) into a monthly cost, so it can be added to the others

      $110.0012=$9.17
    2. Add the 4 monthly costs

      $15.00+$12.00+$9.17+$9.00=$45.17
    3. Multiply by 12 months to get the yearly cost

      $45.17×12=$542.00
    4. Multiply by 6 for the cost over 6 years at today's prices

      $542.00×6=$3,252.00
    5. Find the yearly cost of the subscriptions you rarely use

      $9.00×12=$108.00
    6. If that $9.00 a month were invested instead at 4% a year (0.327374% a month), after 72 months it would grow to

      $9.00×1.265319−10.00327374=$729.40
  9. 9. Total per month: $52.93

    1. Turn subscription 3 ($130.00 a year) into a monthly cost, so it can be added to the others

      $130.0012=$10.83
    2. Add the 4 monthly costs

      $17.00+$14.60+$10.83+$10.50=$52.93
    3. Multiply by 12 months to get the yearly cost

      $52.93×12=$635.20
    4. Multiply by 6 for the cost over 6 years at today's prices

      $635.20×6=$3,811.20
    5. Find the yearly cost of the subscriptions you rarely use

      $10.50×12=$126.00
    6. If that $10.50 a month were invested instead at 4% a year (0.327374% a month), after 72 months it would grow to

      $10.50×1.265319−10.00327374=$850.97
  10. 10. Total per month: $49.00

    1. Turn subscription 3 ($180.00 a year) into a monthly cost, so it can be added to the others

      $180.0012=$15.00
    2. Add the 4 monthly costs

      $15.00+$8.00+$15.00+$11.00=$49.00
    3. Multiply by 12 months to get the yearly cost

      $49.00×12=$588.00
    4. Multiply by 5 for the cost over 5 years at today's prices

      $588.00×5=$2,940.00
    5. Find the yearly cost of the subscriptions you rarely use

      $11.00×12=$132.00
    6. If that $11.00 a month were invested instead at 3% a year (0.246627% a month), after 60 months it would grow to

      $11.00×1.159274−10.00246627=$710.39