High School

Gia is participating in a jump-a-thon to raise money for her school. After completing 20 jumps, she raised [tex]$\$50$[/tex]. Gia wants to know how much money she raises per jump.

Which rate shows how much money Gia raises per jump?

A. [tex]$\frac{50}{20}$[/tex] jumps per dollar
B. [tex]$\frac{20}{50}$[/tex] dollars per jump
C. [tex]$\frac{20}{50}$[/tex] jumps per dollar
D. [tex]$\frac{50}{20}$[/tex] dollars per jump

Answer :

To determine how much money Gia raises per jump, we need to find the unit rate of dollars per jump. Here's how you can calculate it step by step:

1. Identify the values given:
- Gia made 20 jumps.
- She raised [tex]$50.

2. Set up a fraction to find the unit rate:
- We want to find out how many dollars Gia raises for each jump. So, you will divide the total amount of money by the number of jumps.
- The fraction would be \(\frac{50 \text{ dollars}}{20 \text{ jumps}}\).

3. Calculate the unit rate:
- Divide 50 dollars by 20 jumps: \(\frac{50}{20}\).
- This calculation will give you how much money is raised per jump.

4. Result:
- The result of this division is 2.5, which means Gia raises $[/tex]2.5 per jump.

Therefore, the rate that shows how much money Gia raises per jump is [tex]\(\frac{50}{20}\)[/tex] dollars per jump.