Question

21. The table shows the fees two bike rental stores charge. For any fraction ofan hour, both stores charge for a full hour, Write and solve an inequality tofind when it is more expensive to rent a bike from City Cyeles,Two Stores that Rent BikesCostCompanyCity CyclesVillage Sports$10 plus $5.25 per hour$25 plus $2.50 per hour

Answer 1

We will solve as follows:

*First: We write the expressions that describe each company [In order]:

`cc=5.25h+10`

&

`vs=2.50h+25`

Here h represents the number of hours.

*Second: We find the interception point:

`5.25h+10=2.50h+25`

`\Rightarrow5.25h-2.50h=25-10\Rightarrow2.75h=15`

`\Rightarrow h=(60)/(11)\Rightarrow h\approx5.4545454545\ldots\Rightarrow h\approx5.5`

So, approximately after 6 hours it will be more expensive to rent on City Cicles.