Question

Jakayla sells cakes for special occasions. She charges her customers a one-time design fee plus a rate for each serving the cake yields. The table shows the cost of a cake from Sheila based on the number of servings. Based on the table, what rate does Sheila charge customers for each serving?

SERVINGS TOTAL COST
100 $280
150 $405
200 $530
250 $655

A. $2.80
B. $2.50
C. $2.70
D. $3.00

Answer 1

Sheila charges customers a rate of $2.50 for each serving.

Step-by-step explanation:

To find the rate at which Sheila charges customers for each serving, we need to determine the cost per serving based on the given information. We can do this by finding the difference in the total cost for consecutive servings and dividing it by the number of servings in that range. Let's calculate:

• For the first serving range (100-150), the difference in total cost is $405 - $280 = $125. The number of servings in this range is 150 - 100 = 50. Therefore, the rate per serving is $125/50 = $2.50.
• For the second serving range (150-200), the difference in total cost is $530 - $405 = $125. The number of servings in this range is 200 - 150 = 50. Therefore, the rate per serving is $125/50 = $2.50.
• For the third serving range (200-250), the difference in total cost is $655 - $530 = $125. The number of servings in this range is 250 - 200 = 50. Therefore, the rate per serving is $125/50 = $2.50.

Based on the table, Sheila charges customers a rate of $2.50 for each serving.

Therefore answer is B. $2.50.