Question

Using Inequalities
A car rents for $23.95/day, plus $.10/mi. Daily budget is $76. What mileage must you stay to remain within budget?
well I set it up as x+.10<76
which doesn't seem right. I am slightly confused on how I'm supposed to set up this equation.

Answer 1

520.5 miles

the equation should look something like this

23.95 + .1x= 76

Answer 2

The phrase "$23.95/day" means you pay $23.95 for every day, or the number of days is multiplied by the amount. So, this becomes 23.95(# days).

Likewise, the phrase "$.10/mi." means you pay $.10 every mile. So, you would multiply the number of miles by $.10.
This becomes .10(# miles)

The equation states you have a "daily budget," so you are talking about only 1 day. You are asked to find the mileage, so that must be the "x."

So your expression is
23.95(1) + .10x

Since you need it under $76, you are correct that the end of the inequality is <76.

The entire inequality becomes:
23.95(1) + .10x <76
simplified, it is
23.95 + .10x <76

Answer 3

Thank You So Much