Question

Cell phone company A charges $20 each month + 3 cents per text. Cell phone Company B charges five dollars each month + 7 cents per text. Write a system of equations to model the situation using C for the cost and T for the number of texts. How many texts?

A. C = 0.03T, 150 texts
B. C = 0.07T, 100 texts
C. C = 0.03T + 20, 150 texts
D. C = 0.07T + 5, 100 texts

Answer 1

The system of equations that models the situation is C = 0.03T + 20 for Cell phone company A and C = 0.07T + 5 for Cell phone company B. By solving the system of equations, we can find that the number of texts is 150 texts.

Step-by-step explanation:

The system of equations that models the situation is:

C = 0.03T + 20 for Cell phone company A

C = 0.07T + 5 for Cell phone company B

In these equations, C represents the cost and T represents the number of texts.

To determine the number of texts, we need to find the value of T that satisfies both equations. By solving the system of equations, we can find that T = 150 texts.

Therefore, the correct option is C. C = 0.03T + 20, 150 texts.