Mrs. Ventura charges $25 for a basic cake that serves 12 people. A larger cake costs an additional $1.50 per serving. The total cost can be given by y = 1.5x + 25, where x represents the number of additional slices. What does the slope represent?

a. the cost per additional slice

b. the charge for the basic cake

c. the charge for 15 people

d. the cost of Mrs. Ventura's ingredients

The correct answer is a. When there is no additional serving, y=25$. So that, the slope, which is 1.5 represents the cost per additional slice.

graph equation in the form of y = mx + c

where x and y are variables, m - slope and c - intercept

intercept is a fixed cost.

In this case its $25. For a basic cake this cost is charged irrespective of the number of slices needed. Therefore its fixed

for every extra serving she charges $1.50.

therefore the total cost is 25 dollars anyway and an additional 1.50 times the number of additional slices needed.

the slope is the coefficient of x in

y = 1.5x + 25

slope = 1.5

and 1.5 is the cost per additional slice

answer is A.