Question

If the function C = 40 - 2.5 * (road signs replaced) / 0.5 (number of parking lot curbs painted) is used, and the employee painted 20 curbs in one week, how many road signs did he replace that week?

A) 20
B) 30
C) 10
D) 40

Answer 1

To find the number of road signs replaced by an employee who painted 20 curbs in one week using the given function, we first plug in the number of painted curbs and solve for the road signs replaced. None of the provided options (20, 30, 10, 40) match the calculated result, which is 160 road signs. There may be a mistake in the question or options provided.

Step-by-step explanation:

The subject of the question is Mathematics, specifically involving algebraic expressions and function evaluation at the high school level. The function given is C = 40 - 2.5 * (road signs replaced) / 0.5 * (number of parking lot curbs painted), and we need to solve for the number of road signs replaced when an employee painted 20 curbs.

First, let's input the number of curbs into the function:

C = 40 - 2.5 * (road signs replaced) / (0.5 * 20)

Simplifying the denominator:

C = 40 - 2.5 * (road signs replaced) / 10

C = 40 - 0.25 * (road signs replaced)

Solving for the number of road signs replaced when C = 0 (the assumption here is that we're finding a break-even point or similar situation where the cost becomes 0):

0 = 40 - 0.25 * (road signs replaced)

0.25 * (road signs replaced) = 40

(road signs replaced) = 40 / 0.25

(road signs replaced) = 160

Therefore, none of the options A) 20, B) 30, C) 10, or D) 40 is correct. It appears there might be a misunderstanding or a typo in the question or the options provided.