Question

3. The cost of the city permits needed to build this building is 150,000 no matter how many floors with

condos are built.

a. Create a function p(1) based on this information.

b. What is the slope of your function and what does it tell you?

Answer 1

`P(x) = 150000`

`Slope = 0`

Explanation:

Given

`Cost = 150000`

Solving (a): The cost function:

From the given parameter, it shows that the number of floor has no effect on the floors.

So, represent the floors with x.

The cost function is:

`P(x) = 150000`

Solving (b): The slope and its interpretation

A function is represented as:

`f(x) = b + mx`

Where:

`m=slope`

By comparing:
`f(x) = b + mx` to
`P(x) = 150000`

`m = 0`

So:

`Slope = 0`

What it means is that, no matter the number of floors, the cost remains unchanged.