Question

6) A cab company charges $0.20 per mile plus $8 for tolls. Melissa has at most $26 to spend on her cabfare. Write and solve an inequality to determine if she has enough money to go to the airport that is 45miles away, and requires 2 tolls.Let x =Inequality:

Answer 1

Let x = the number of miles.

Let y = the number of tolls.

Total charges per mile is $0.20 times x or 0.20x.

Total charges per toll is $8 times y or 8y.

Since Melissa's money is at most $26 only, the total charges per mile and per toll must not exceed $26 so that her money will be enough. With that, we can form the inequality:

`0.20x+8y\leq26`

To check if her money is not enough, let's plug in the number of miles x = 45 miles and the number of tolls y = 2 to the inequality above.

`\begin{gathered} (0.20*45)+(8*2)\leq26 \\ 9+16\leq26 \\ 25\leq26 \end{gathered}`

The total charge for 45 miles and 2 tolls is $25 only. Since $25 is less than $26, Melissa's money is enough for her to go to the airport.