The initial value of a function is when x = 0. The initial value of the Trampoline Park is $5.00
Given that:
[tex](x_1,y_1) \to (3,18.5)[/tex]
[tex]m = 4.50[/tex] ---- the rates
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.50(x - 3) + 18.5[/tex]
Open bracket
[tex]y = 4.50x - 13.5 + 18.5[/tex]
[tex]y = 4.50x + 5.00[/tex]
The initial value is when [tex]x=0[/tex]
So, we have:
[tex]y = 4.50 \times 0 + 5.00[/tex]
[tex]y = 5.00[/tex]
Hence, the initial value is $5.00
Read about linear functions at:
https://brainly.com/question/11897796
