Jacqueline spent 33.50 to rent a bicycle. The bike rental facility charged $4 per hour and a processing fee of $1.50. For how many hours, x , did jacqueline rent the bicycle

Respuesta :

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.