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:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

the answer is a beach is the best place to be