Question

Ralph is planning to use the same indoor rock climbing facility that his friend Trina did. Trina can'tremember how long she climbed, but she spent a total of $21.25 on her session. She paid a $5entrance fee and $3.25 for every hour she climbed. If Ralph wants to spend the same amount ofmoney, write an equation to help him figure out how long he should plan on climbing. Highlightyour equation in green. Then, solve the equation.

Answer 1

Let's generate an equation from the relationships found in the given scenario,

We get,

`\text{ 5 + 3.25x = 21.25}`

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.

`\text{ 5 + 3.25x = 21.25}`

Applying the Rule of Additive Inverse Property, we get,

`\text{ 5 + 3.25x - 5 = 21.25 - 5}`
`\text{ 3.25x = 16.25 }\rightarrow\text{ x =}(16.25)/(3.25)`
`\text{ x =5}`

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.