Question

The function with a rate of change of 4/5 that has a value of 10 at x=10

Answer 1

y =
`(4)/(5)` x + 2

Explanation:

Assuming you require the equation of the function.

The slope m is a measure of the rate of change of the function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m =
`(4)/(5)` , thus

y =
`(4)/(5)` x + c ← is the partial equation

To find c substitute (10, 10) into the partial equation

10 = 8 + c ⇒ c = 10 - 8

y =
`(4)/(5)` x + 2 ← equation of function