Question

Please help and show work

19) Geoff owns a computer store in 1990 he sold 2400 monitors and in 2000 he sold 4000. Let x
represent the number of years since 1990. Write a linear equation in slope intercept form that
represents this data.

Answer 1

B.
`y = 160x + 2400`

Explanation:

The linear equation for that represents the above data is given in slope-intercept form as
`y = mx + b`, where:

m = slope =
`(y_2 - y_1)/(x_2 - x_1)`

b = starting value = y-intercept = 2,400

Slope of the linear equation using (0, 2400) and (10, 4000):

`m = (y_2 - y_1)/(x_2 - x_1) = (4000 - 2400)/(10 - 0) = (1600)/(10) = 160`

Substitute m = 160, and b = 2,400 in
`y = mx + b`.

Thus, the linear equation in slope-intercept form would be:

✅
`y = 160x + 2400`