Answer:
8 hours
Step-by-step explanation:
Given that:
Money spent by Jacqueline to rent a bicycle = $33.50
Per hour charges for the bicycle for renting the bicycle = $4
Processing fee charged for renting the bicycle = $1.50
To find:
The number of hours, [tex]x[/tex] for which Jacqueline rented the bicycle.
Solution:
Charges for 1 hour = $4
Charges for [tex]x[/tex] hours = $[tex]4x[/tex]
Processing fee = $1.50
Total fee charged for renting the bicycle is nothing but the sum of processing fee and the charges for [tex]x[/tex] hours charged by the bike rental facility.
Total money spent = Processing Fee + Charges for [tex]x[/tex] hours
Total money spent = 1.50 + 4[tex]x[/tex] = 33.50
[tex]\Rightarrow 4x = 32\\\Rightarrow x = \bold{8\ hours}[/tex]
So, Jacqueline rented the bicycle for 8 hours.