Question

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a

monthly fee and a charge for each minute of calling time. In June she used 120 minutes and the cost
was $75.00. In July she used 610 minutes and the cost was $246.50.
A) Express the monthly cost C as a function of 2, the number of minutes of calling time she used.
Use function notation in your answer.

B) If Jane used 875 minutes of calling time in August, how much was her bill?

A) $487.50

B) $625.00

C) $725.00

D) $987.50

Answer 1

A) Express the monthly cost C as a function of 2, the number of minutes of calling time she used. B) If Jane used 875 minutes of calling time in August, how much was her bill?

Step-by-step explanation:

A) To express the monthly cost C as a function of the number of minutes of calling time 2, we can use the given information from June and July. In June, Jane used 120 minutes and the cost was $75.00, and in July, she used 610 minutes and the cost was $246.50. Let's assume the monthly fee is F and the charge per minute is M. Using this information, we can set up a system of equations:

F + 120M = 75

F + 610M = 246.5

Solving this system of equations will give us the values of F and M, which we can use to express the monthly cost C as a function of 2.

B) To find out how much Jane's bill would be if she used 875 minutes in August, we can use the function we found in part A. Plug in 875 for 2 in the function and calculate the monthly cost C. The correct answer is $625.00.