Question

Write the equation of the function if its rate of change is -14 and its intial value is 14

Answer 1

`f(x) = -14x + 14`

Explanation:

Given

`Initial\ Value = 14`

`Rate = -14`

Required:

Write as a function

Let x be the quantity that changes:

A function is of the form:

`f(x) = mx + b`

Where

m = slope or rate

b = y intercept or initial value.

So, we can say that:

`m = -14`

`b = 14`

Substitute values for b and m in
`f(x) = mx + b`

`f(x) = -14x + 14`