Question

A graph with number of hours on the x-axis and total cost (dollars) on the y-axis. Points are at (3, 18.5), (4, 23), (5, 27.5) and (6, 32).

Trampoline Park has an admission fee, plus an hourly fee of $4.50. Determine the admission fee that the trampoline park charges.

What is the initial value?
$4.50
$5.00
$5.50
$6.00

Answer 1

$5.00

Explanation:

Answer 2

The initial value is $5.00

Explanation:

The question required us to find the y-intercept or c in the equation of the straight line.

We are given 4 different points on the graph and we are also told the hourly fee. As we know that the graph has total hours on x axis and total cost on y axis, we can calculate the gradient or slope of the graph.

m = (23 - 18.5) / (4 - 3)

m = 4.5

Taking point (3,18.5) for calculating c or y intercept from the equation of straight line that is,

y = m (x) + c

18.5 = 4.5 (3) + c

18.5 = 13.5 + c

18.5 - 13.5 = c

c = 5

So the admission fee is $5.