Question

Rachels cell phone company charges $0.10 per minute. She used 350 minutes last month and paid $84. write and solve a linear equation to find her bill next month if she uses 300 minutes

Answer 1

$79

Explanation:

Let's start by defining the variables:

Let's let "x" be the bill for next month, in dollars.

We know that the cell phone company charges $0.10 per minute, so the cost of using "m" minutes is 0.10m dollars.

We are given that Rachels used 350 minutes last month and paid $84, so we can set up an equation:

0.10(350) = 35 dollars for 350 minutes

x = 0.10(300) + c

where "c" is a fixed monthly cost that doesn't depend on the number of minutes used.

We can solve for "c" by using the fact that Rachels paid $84 last month:

0.10(350) + c = 84

c = 84 - 0.10(350)

c = 49 dollars

Now we can substitute "c" into the equation for the bill next month:

x = 0.10(300) + 49

x = 30 + 49

x = 79 dollars

Therefore, Rachels bill next month would be $79 if she uses 300 minutes.