An apartment building can house up to 120 people. the equation m(p) = 5p gives the amount of money made, in hundreds of dollars, when p apartments are rented. what is the range for this situation?

[0,600]

Step-by-step explanation:

We have been given an equation that gives the the amount of money made, in hundreds of dollars, when p apartments are rented.

Since we know that the range is the resulting y-values we get after substituting all the possible x-values.  

Range will be the set of values of m(p) for this function.

Minimum value of p can be 0 as we can not rent negative number of apartments, so minimum value of m(p) will be 0 too.

The maximum value of p can be 120 as there are 120 apartments to be rented. Let us find maximum value of m(p) by substituting p=120 in our given equation.

We can see that minimum value of m(p) is 0 and maximum value of m(p) is 600, therefore, range of our given function is [0,600].

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.

step-by-step explanation:

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