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

The initial value is $5.00

Step-by-step 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.

$5.00

Step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,