Question

A city employee paints curbs in parking lots and replaces road signs. It takes 0.5 hour to paint a parking lot curb and 2.5 hours to replace a road sign

Answer 1

Question is incomplete. Here is the complete question.

A city employee paints curbs iin parking lots and replaces road signs. It takes 0.5 hour to paint a parking lot curb and 2.5 hours to replace a road sign. The function below can be used to find c, the number of parking lot curbs the employee paints when he replaces r road signs in a 40-hour workweek.

$c=\frac{40-2.5r}{0.5}$

If the employee painted 20 curbs in one week, how many road signs did he replace that week?

a) 20    b) 30    c) 0     d) 12

Answer: d) 12

Step-by-step explanation: In one week, the employee painted 20 curbs.

c is the number of curbs painted in one week, so: c = 20

$20=\frac{40-2.5r}{0.5}$

$40-2.5r=20*0.5$

$-2.5r=10-40$

$-2.5r=-30$

$r=\frac{-30}{-2.5}$

r = 12

In one week, the employee replaced 12 road signs.