Question

You want to spend at most $12 on a driver tells ride. The driver tells you there is an initial charge of $5 plus $0.50 per mile. How do you write and solve an inequality to find out now many miles you can ride?

Answer 1

`x<=14`

Explanation:

Let's build an equality

Assume `x` is the number of miles.

So, our total charge will be `5+0.5x`.
`color(violet)("(Initial charge+Charge per mile)"`
Our total charge should be less than `12` or equal to `12`

Therefore,

`rarr5+0.5x<=12`

Try to isolate `x`

Subtract `5` both sides

`rarr0.5x<=7`

Divide both sides by `0.5`

`color(green)(rArrx<=14`

`:.` We can ride a maximum of `14` miles