Mullins Bright
01/03/2024 · Elementary School
5. Rocko paid \( \$ 12.50 \) for 25 game tickets. Louisa paid \( \$ 17.50 \) for 35 game tickets. What is the constant of proportionality? (Example 3)
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To find the constant of proportionality for both Rocko and Louisa, we need to determine the cost per ticket for each of them.
**For Rocko:**
- Total cost: \( \$12.50 \)
- Number of tickets: \( 25 \)
The cost per ticket for Rocko is calculated as follows:
\[
\text{Cost per ticket} = \frac{\text{Total cost}}{\text{Number of tickets}} = \frac{12.50}{25} = 0.50
\]
So, the constant of proportionality for Rocko is \( 0.50 \).
**For Louisa:**
- Total cost: \( \$17.50 \)
- Number of tickets: \( 35 \)
The cost per ticket for Louisa is calculated as follows:
\[
\text{Cost per ticket} = \frac{\text{Total cost}}{\text{Number of tickets}} = \frac{17.50}{35} = 0.50
\]
So, the constant of proportionality for Louisa is also \( 0.50 \).
**Conclusion:**
The constant of proportionality for both Rocko and Louisa is \( 0.50 \). This means that both paid \( \$0.50 \) per game ticket.
Quick Answer
The constant of proportionality for both Rocko and Louisa is \( 0.50 \).
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