Answer:
Tom paid $51 renting the bike for 5 hours
Explanation:
Given:
Oceanside bike rental charges $11 plus $8 per hour for renting.
Tom paid $51 to rent a bike.
To find the number of hours Tom rented the bike for.
Solution:
Let Tom rent the bike for =
hours.
Hourly rate of renting = $8 per hour
Using unitary method find cost of renting for
hours.
If renting for 1 hour costs = $8
Then for
hours, the cost in dollars will be =
![8x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dl1tsvp6ozj0p1pvqkwub4x3g00qidl21k.png)
Fixed charges = $11
∴ Total cost of renting a bike in dollars for
hours will be given as:
![8x+11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1vsqcrjk9cxzcslkcql7qggn1i3025ynqe.png)
Tom paid a total charge of = $51.
So, we have:
![8x+11=51](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l36so52rb7vg296jpzw5uetq1p8a26helg.png)
Subtracting both sides by 11.
![8x+11-11=51-11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l414zcslprqu77xt62w297uh4ulhzhh47k.png)
![8x=40](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tatz2onqcutnvd0sa34k4u9zoajbimye56.png)
Dividing both sides by 8.
![(8x)/(8)=(40)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/icydn1q3lkyvuyp4h2z5yc79m2y377uqc8.png)
∴
![x=5](https://img.qammunity.org/2020/formulas/mathematics/high-school/o5m8b661p5jd65tmflgivq8gybwcjq1o2n.png)
Thus, Tom rents the bike for 5 hours.