Answer:
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Step-by-step explanation:
To write the rule or equation of the linear function we need to find the slope of the function first. Using any two points we can find the slope.
Using the first two points (-3, -1) and (0, 2).
Slope (m) of the function would be:

Using slope and the point (0,2) we can write the equation of the line as:
y - 2 = 1(x-0)
y = x + 2
Thus, the correct rule for the given linear function is x+2
Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
32*900 = 28800
108*x = 108x
108x = 28800
x =
or 
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
Answer:
Inverse function: 
Step-by-step explanation:
The inverse of a functon
is the function
such that
.
In this problem, the function that we have to reverse is

In order to reverse the function, we do it in this way:
1) First, we isolate x and we write it as a function of y. Therefore:

2) Then, we exchange the names of the variables, so:

Therefore, the inverse function is
