Question

natalie is planning to go to the state fair. there is a proportional relationship between the number of days that natalie attends the fair and the total cost she pays for admission. the cost for 5 days is $25.00. the point (5, $25) is shown on the graph below.
what is the constant of proportionality for this relationship?
k =
what is the total cost for 7 days?

Explanation:

Step1: Define proportionality formula

For proportional relationships, $y = kx$, where $k$ is the constant of proportionality, $y$ is total cost, and $x$ is days.

Step2: Solve for $k$ using given values

Substitute $y=25$, $x=5$:
$k = \frac{y}{x} = \frac{25}{5} = 5$

Step3: Calculate cost for 7 days

Use $y = kx$ with $k=5$, $x=7$:
$y = 5 \times 7 = 35$

Answer:

Constant of proportionality: $k = 5$
Total cost for 7 days: $\$35.00$