Question

Question #d0bce

Answer 1

`10` texts

Explanation:

Let's begin by writing an expression for each phone plan.

For Michelle: `0.22t`
This says that Michelle gets charged $0.22 for each text `t` that she sends

For Jeff: `0.12t+1`
This says that Jeff gets charged $0.12 for each text, `t` plus $1 per day

To find for how many texts will both plans cost the same, we can set up the following equation:

`0.22t=0.12t+1`

where `t` is the number of texts.

We now solve for `t`

`0.22tcolor(red)(-0.12t)=cancel((0.12t)color(red)(-0.12t))+1`

`0.10t=1`

`cancel(0.10/color(red)0.10)t=1/color(red)(0.10)`

`t=10`

So, at `10` texts, both Michelle's and Jeff's plans will cost the same.