4. A map of an amusement park is shown on a coordinate plane, where each square of the grid represents 1 square meter. The water ride is at (3,8), and the roller
coaster is at (27,40).

The Ferris wheel is located halfway between the water ride and the roller
coaster. What is the location point of the Ferris wheel? Show your work or
explain your reasoning.

If Tiffany and her sister are at the Ferris wheel and their parents are
waiting for them at the water ride, how far do they need to walk? Show
your work or explain your reasoning.

The hotdog stand is located directly east of the water ride. The distance between the hotdog stand and the water ride is the same as that as the distance between the Ferris wheel and the water ride. what are the coordinates of the hotdog stand? show your work or explain your reasoning.

d is correct

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)