Answer:
4 hours
Step-by-step explanation:
P.S - The exact question is -
Given - The Lakeside Marina charges a $35 rental fee for a boat in
addition to charging $15 per hour. Clear water Boating Company
charges a $15 rental fee for a boat in addition to charging $20
per hour.
To find - After how many hours would Clear water Boating Company
and The Lakeside Marina cost the same amount?
Proof -
Let per hour charge = x
Given that ,
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour.
⇒Amount Lakeside marina charges = 15x + 35
Also,
Clear water Boating Company charges a $15 rental fee for a boat in addition to charging $20 per hour.
⇒Amount Clear water Boating Company charges = 20x + 15
Now,
Clear-water Boating Company and The Lakeside Marina cost the same amount if
15x + 35 = 20x + 15
⇒35 - 15 = 20x - 15x
⇒20 = 5x
⇒x = [tex]\frac{20}{5}[/tex] = 4
∴ we get
After 4 hours Clear water Boating Company and The Lakeside Marina cost the same amount.
Verification -
Amount of Clear water Boating Company = 20x + 15
= 20(4) + 15
= 80 + 15
= 95
⇒Amount of Clear water Boating Company for 4 hours = $95
Now,
Amount of Lakeside marina = 15x + 35
�� = 15(4) + 35
= 60 + 35
= 95
⇒Amount of Lakeside marina for 4 hours = $95
We can see that
For 4 hours ,
Amount of Clear water Boating Company = Amount of Lakeside marina
