Question

Ralph is planning to use the same indoor rock climbing facility that his friend Trina did. Trina can't remember how long she climbed, but she spent a total of $21 on her session. She paid a $5 entrance fee and $3.25 for every hour she climbed. Write an equation to help Ralph figure out how long he should plan on climbing to spend the same amount of money.

Options:
A. 3.25h + 5 = 21
B. 5h + 3.25 = 21
C. 3.25h = 21
D. 5h = 21

Answer 1

The correct equation to determine how long Trina climbed for $21, accounting for a $5 entrance fee and $3.25 hourly rate, is Option A: 3.25h + 5 = 21.

Step-by-step explanation:

To determine how long Trina climbed at the rock climbing facility, we need to construct a linear equation that represents the total cost of the session. Trina paid a $5 entrance fee and $3.25 for every hour she climbed. To spend a total of $21 like Trina did, we need to account for both the entrance fee and the hourly climbing fee in our equation.

The correct equation to represent this scenario would have the entrance fee as a constant (the y-intercept) and the hourly fee as the variable part (the slope of the equation multiplied by the number of hours). Therefore, the number of hours (h) that Trina climbed can be represented by the equation 3.25h + 5 = 21, where 3.25 represents the hourly fee and 5 repesents the entrance fee.

So, the correct option for Ralph is:

Option A. 3.25h + 5 = 21