Question

What is the equation that represents the total amount Aubrie paid (T) to the mechanic for x hours of labor, considering a rate of $34 per hour and an additional $65 for parts?

a) T = 34x + 65
b) T = 65x + 34
c) T = 34 + 65x
d) T = 34x - 65

Answer 1

The total amount Aubrie paid to the mechanic, represented by T, for x hours of labor at $34 per hour and $65 for parts is T = 34x + 65, where $65 is the y-intercept and $34 is the slope.

Step-by-step explanation:

The equation that represents the total amount Aubrie paid (T) to the mechanic for x hours of labor, at a rate of $34 per hour, and an additional $65 for parts is T = 34x + 65. Here, the $65 is a fixed cost for parts, making it the y-intercept, and $34 is the variable cost per hour of labor, which is the slope of the equation. Therefore, for every hour worked, the total cost increases by $34, and we start with an initial cost of $65 for the parts.