Question

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?

Answer 1

[0,600]

Explanation:

We have been given an equation
`m(p)=5p` 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.

`m(0)=5* 0`

`m(0)=0`

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.

`m(120)=5* 120`

`m(120)=600`

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].