Question

the function with a rate change of 3/2 whose graph passes through the point (4,10.5)​ somebody please help i am not understanding this!.

Answer 1

Given:

Rate of change =
`(3)/(2)`

Graph passes through the point (4, 10.5)

To find:

The equation of the function of the graph.

Solution:

Rate of change is same as the slope

Slope (m) =
`(3)/(2)`

Here
`x_1=4, y_1=10.5`

Using point-slope formula:

`y-y_1=m(x-x_1)`

`$y-10.5=(3)/(2) (x-4)`

`$y-10.5=(3)/(2) x-(3)/(2) (4)`

`$y-10.5=(3)/(2) x-6`

Add 10.5 on both sides.

`$y=(3)/(2) x+4.5`

The equation of the function is
`y=(3)/(2) x+4.5`.