A. Julie gets a prepaid cell phone. Initially she has a $40.00 balance on the phone. Each minute of talking cost $0.15Find the value of x that makes f(x)=0, and explain its meaning in terms of the cell phone.

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Answer:

Given that,

Julie gets a prepaid cell phone. Initially she has a $40.00 balance on the phone.

Each minute of talking cost $0.15.

To find the value of x that makes f(x)=0.

Let x be the number of munites of talking.

we know that each minute of talking cost $0.15,

we get the equation as,

[tex]f(x)=40-0.15x[/tex]

To find the value of x when f(x)=0,

Substitute f(x)=0, we get

[tex]40-0.15x=0[/tex][tex]0.15x=40[/tex]

[tex]x=\frac{40}{0.15}[/tex]

[tex]x=266.67[/tex]

Answer is: x=266.67

It means that with $40.00 balance, Julie can speak upto 266.67 minutes.