Question

a telephone company offers a monthly cellular phone plan for $20.00. it includes 300 free minutes plus $0.20 per minute for additional minutes. the following function gives the monthly cost for a subscriber, where x is the number of minutes used. simplify the expression in the second - line of the piece - wise function. then use point - plotting to graph the function.
c(x)=
{
20.00 if 0≤x≤300
20.00 + 0.20(x - 300) if x>300
}
fill in the simplified expression below.
c(x)=
{
20.00 if 0≤x≤300
□ if x>300
(use integers or decimals for any numbers in the expression. do not factor.)

Explanation:

Step1: Distribute 0.20 in the expression

$20.00 + 0.20x - 0.20 \times 300$

Step2: Calculate the constant term

$20.00 + 0.20x - 60.00$

Step3: Combine like terms

$0.20x - 40.00$

Answer:

$C(x)=

$$\begin{cases} 20.00 & \text{if } 0\leq x\leq 300, \\ 0.20x - 40.00 & \text{if } x>300 \end{cases}$$

$