QuestionFind the constant of proportionality for Rocko's and Louisa's game ticket purchases.

Studdy Solution

STEP 1

Assumptions1. Rocko paid $12.50 for25 game tickets. Louisa paid$ 17.50 for35 game tickets3. The cost per ticket is constant for both Rocko and Louisa

STEP 2

The constant of proportionality is the ratio of the cost to the number of tickets. We can find this by dividing the cost by the number of tickets.
$Constant\, of\, proportionality = \frac{Cost}{Number\, of\, tickets}$

STEP 3

First, let's find the constant of proportionality for Rocko.
$Constant\, of\, proportionality_{Rocko} = \frac{\$12.50}{25}$

STEP 4

Calculate the constant of proportionality for Rocko.
$Constant\, of\, proportionality_{Rocko} = \frac{\$12.50}{25} = \$0.50$

STEP 5

Now, let's find the constant of proportionality for Louisa.
$Constant\, of\, proportionality_{Louisa} = \frac{\$17.50}{35}$

STEP 6

Calculate the constant of proportionality for Louisa.
$Constant\, of\, proportionality_{Louisa} = \frac{\$17.50}{35} = \$0.50$ The constant of proportionality is $0.50.

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