Peter works part time for 3 hours every day and cindy works part time for 2 hours every day.
a. if both of them get $4.50 an hour, write an inequality to compare peter's and cindy's earnings.
b. what should cindy's per-hour income be so that she earns at least $14 a day? write an inequality and explanation of how to solve it.

Givens:

So, from the problem we can deduct that Peter earns $4.50(3 hours/day) = $13.50 per day. And Cindy earns $4.50(2 hours/day) = $9.00 per day. Therefore, Peter daily earning are higher than Cindy's, this can be expressed with the following inequality:

Peter's daily earnings > Cindy's daily earnings

$13.50 > $9.00

On the other hand, if Cindy earns at least $14 per day, that means she earns $14/2 hours per day = $7 per hour, because she only works 2 hours each day. But, the problem says "at least", so the correct expression would be

y=mx+

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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