Question

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.

Answer 1

I think it's 53 miles

Explanation:

After flat fee of $1.75 leaves him $13.25. Then use the remainder to calculate miles. Each dollar allows 4 miles × 13 = 52+1=53

Answer 2

The inequality is:

`1.75+0.25x\leq 15`

The solution of the inequality is:

`x\leq 53`

Explanation:

Let Eddie could travel x miles.

It is given that:

A cab charges $1.75 for the flat fee and $0.25 for each mile.

This means that the fee charged by Eddie if he travels x miles excluding the flat fee is:

$ 0.25x

Total amount the cab will charge Eddie is:

1.75+0.25x

Also, it is given that:

He has only $ 15 to spend this means that he can spend no more than 15 on riding in a cab.

Hence, the inequality is given by:

`1.75+0.25x\leq 15`

Now on solving the inequality i.e. finding the possible values of x from the inequality.

We subtract both side of the inequality by 1.75 to obtain:

`0.25x\leq 13.25`

Now on dividing both side of the inequality by 0.25 we get:

`x\leq 53`

Hence, Eddie could travel less than or equal to 53 miles .