Question

Each month a cell phone company charges a base fee of $50, plus $10.00 for each phone on the plan. Which equation defines the total monthly cost, T(x), as a function of the number of phones, x?
a) T(x) = 50x + 10
b) T(x) = 10x + 50
c) T(x) = 10 + 50x
d) T(x) = 50 + 10x

Answer 1

Answer:The correct equation that defines the total monthly cost, T(x), as a function of the number of phones, x is:

d) T(x) = 50 + 10x

Here's how you can understand this:

- The base fee charged by the cell phone company is $50, which is represented by the constant term 50 in the equation.

- In addition to the base fee, the company charges $10 for each phone on the plan, and since x represents the number of phones, the term 10x accounts for this variable cost based on the number of phones.

Therefore, the total monthly cost, T(x), is calculated by adding the base fee of $50 to the variable cost of $10 per phone, which is represented by the equation T(x) = 50 + 10x.