3.1 Question 50

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 3, Section 3.1

A phone company offers a domestic long distance package by charging $5 plus $0.05 per minute

a) Written a linear model that relates the cost C, in dollars, of talking x minutes

b) What is the cost of talking 105 minutes? 180 minutes?

[nycmath]

Part A

Note: YOUR LATEX IS NOT CLEAR. I ASSUME YOU MEAMT TO SAY $5 + 0.05 cents per minutes.

We want C(x).

C(x) = 0.05x + fixed amount

C(x) = 0.05x + 5

[nycmath]

Part B

Let x = 105 minutes

C(x) = 0.05x + 5

C(105) = 0.05(105) + 5

C(105) = $10.25

Let x = 180 minutes

C(x) = 0.05x + 5

C(180) = 0.05(180) + 5

C(180) = $14

[Eigenvalue]

Yes, your answers are correct; I did make a LaTex error, bit it was meant to say 5 dollars and 5 cents per minute.

[nycmath]

Yes, your answers are correct; I did make a LaTex error, bit it was meant to say 5 dollars and 5 cents per minute.

Very good.