Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model

we have
substitute

Answer:
The first Gym when he joins we will have to pay 60 dollars and in a 30 witch cost 90 dollers. but the second gym cost 50 $ per month so the first gym in a year he will pay 450$ and the second one 600 so the first one is cheeper.
Step-by-step explanation:
Scale for y - 1:1
Scale for x - 1:10
Reason- so that i can plot the points on the graph without any modification to the given one.
Now plot the points on the graph using the scale. I cant obviously do that here.
The correct answer should be A.
Answer:
-15 Is the answer
Step-by-step explanation:
(-5)(7)+4×5
= -15
(-5)(7) + 4×5 = -15/1 = -15
Multiple: -5 * 7 = -35
Multiple: 4 * 5 = 20
Add: the result of step No. 1 + the result of step No. 2 = -35 + 20 = -15
Hope this helps.