Question

question 11 of 23 the cost, c(x), for parking in an airport lot is given by c(x)=8x + 10.00, where x is the number of hours. what does the slope mean in this situation? a. the rate of change of the cost of parking in the lot is $10.00 per hour. b. the rate of change of the cost of parking in the lot is $8.00 per hour. c. it costs a total of $10.00 to park in the lot. d. parking in the lot costs $8.00 per car.

Explanation:

The cost function $c(x)=8x + 10.00$ is in the form of a linear equation $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In a cost - related linear equation, the slope represents the rate of change of the cost with respect to the independent variable. Here, the independent variable $x$ is the number of hours, and the slope $m = 8$. So, it means for each additional hour of parking, the cost increases by $8.

Answer:

B. The rate of change of the cost of parking in the lot is $8.00 per hour.