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Harrizon [31]
3 years ago
5

Use the scenario to answer the question.

Mathematics
1 answer:
EastWind [94]3 years ago
7 0
B) -5.27

300 - 157.7 = 142.29

Jan 1st - Jan 28th = 27 days

142.29/5.27 = 27
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16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day.
Ber [7]

Answer:

Part A)

  • 4.50 × 3 > 4.50 × 2
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Part B)

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Explanation:

1) The earnings are calculated multiplying the number of hours by the hourly rate.

2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour

3) Let the variable used for computing the number of hours be h.

4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:

  • P = 4.50 × 3

5) Similarly, the expression to calculate Cindy's earnings would be:

  • C = 4.50 × 2

<u>Answering part A)</u>

<u>Y</u>ou have to write an inequality to compare Peter's and Cindy's earnings:

  • 4.50 × 3 > 4.50 × 2
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This is, the earnings of Peter are greater than the earnings of Cindy.

<u>Part B)</u>,

You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.

  • Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.

  • Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.

  • To solve it follow these steps:

Given: 2r ≥ 14

Divide both sides by 2: r ≥ 14 / 2

Simplify: r ≥ 7

That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.

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