Question

#(13) Admission to the fair costs $7.75. Each ride costs you $0.50. You have $15 to spend at the fair including admission. Wrtie an inequality to best model this situation. Using the inequality that you chose in #13 what is the maximum number of rides you can go on?

Answer 1

We have the next information

7.75 admission

0.50 ride

you have 15 that is the limit

The inequality will be

`7.75+0.50x\le\text{ 15}`

where x is the number of rides you can do

Using the inequality we can calculate the number of rides, we need to clear x

`\begin{gathered} 0.50x\le15-7.75 \\ 0.50x\le7.25 \\ x\le(7.25)/(0.50) \\ x\le14.5 \end{gathered}`

the maximum number of rides is 14 because we can't do a half ride