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.

Respuesta :

Answer:

I think it's 53 miles

Step-by-step 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:

The inequality is:

             [tex]1.75+0.25x\leq 15[/tex]

The solution of the inequality is:

                    [tex]x\leq 53[/tex]

Step-by-step 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:

            [tex]1.75+0.25x\leq 15[/tex]

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:

[tex]0.25x\leq 13.25[/tex]

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

[tex]x\leq 53[/tex]

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