Answer
No more than $80$ miles per day.
Work Step by Step
Let the number of miles per day be $x$.
Unlimited mileage charges $\$40$ per day.
Normal charges $\$24$ a day plus $\$0.20$ per mile.
In the mathematical form.
Unlimited mileage charges $=40$.
Normal charges $=24+0.20x$.
For the normal charges to be no more than the unlimited charges the inequality is.
Normal charges $\lt$ Unlimited charges .
The inequality is
$\Rightarrow 24+0.20x\lt 40$.
Solve the inequality.
Subtract $24$ from both sides.
$\Rightarrow 24+0.20x-24\lt 40-24$.
Simplify.
$\Rightarrow 0.20x\lt 16$.
Divide both sides by $0.20$.
$\Rightarrow \frac{0.20x}{0.20}\lt\frac{16}{0.20}$.
Simplify.
$\Rightarrow x\lt80$.
Hence, no more than $80$ miles per day.
