Question

unit: solving equations and inequalities
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
esmerelda rents a car from a company that rents cars by the hour. she has to pay an initial fee of $50, and then they charge her $9 per hour. she has $200 available to spend on car rental. what is the greatest number of hours for which she can rent the car?
(the car cannot be rented for part of an hour.)
22 hours
17 hours
16\frac{2}{3} hours
16 hours

Explanation:

Step1: Define total cost equation

Let $h$ = number of hours. Total cost: $50 + 9h \leq 200$

Step2: Isolate the hourly cost term

Subtract 50 from both sides:
$9h \leq 200 - 50$
$9h \leq 150$

Step3: Solve for h

Divide both sides by 9:
$h \leq \frac{150}{9} = \frac{50}{3} = 16\frac{2}{3}$

Step4: Apply hour restriction

Since partial hours are not allowed, use the whole number of full hours that fit within the budget, which is $16\frac{2}{3}$ hours (the maximum allowed, as we cannot round up to 17 hours which would exceed the budget).

Answer:

$\boldsymbol{16\frac{2}{3}}$ hours (Option: $16\frac{2}{3}$ hours)