Let's generate an equation from the relationships found in the given scenario,
We get,
[tex]\text{ 5 + 3.25x = 21.25}[/tex]This equation reflects Trina's expenses during her indoor rock climbing. She spent an entrance fee of $5 and a rate of $3.25 per hour climb with a total expense of $21.25.
Where,
x = the number of hours Trina climbed.
Let's now compute how long did Trina use the indoor rock climbing facility.
[tex]\text{ 5 + 3.25x = 21.25}[/tex]Applying the Rule of Additive Inverse Property, we get,
[tex]\text{ 5 + 3.25x - 5 = 21.25 - 5}[/tex][tex]\text{ 3.25x = 16.25 }\rightarrow\text{ x =}\frac{16.25}{3.25}[/tex][tex]\text{ x =5}[/tex]Therefore, Trina spent 5 hours in the indoor rock climbing facility.
If Ralph wants to spend the same amount of money, he must use the indoor rock climbing facility for 5 hours.
