Question

A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
PLEASE DO STEP BY STEP BECAUSE IT NEEDS ME TO SHOW MY WORK!
BEST ANSWER GETS BRAINLIEST! :) TYSM I NEED ANSWER ASAP

Answer 1

Answer:

40/3

$15 \times x = 200 \\ 15x = 200 \\ x = 200 \div 15 \\ x = \frac{40}{3}$

Answer 2

So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked

We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200

so now we have to solve for h (number of hours worked):

15h =< 200

(divide both sides by 15)

h =< 13 1/3

So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.