Question

Frieda orders pizzas for a meet at work. Last week she ordered 6

pizzas for $58. This week she ordered 9 pizzas for $82.
Write a point-
slope equation for this scenario. Do not use spaces between any of
your variables or numbers.

Answer 1

`y = 8x + 10`

Explanation:

Given

Represent pizzas with x and amount with y

So:

`(x_1,y_1) = (6,58)`

`(x_2,y_2) = (9,82)`

Required

Determine the point slope equation

First, we need to determine the slope, m

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

`m = (82 - 58)/(9 - 6)`

`m = (24)/(3)`

`m = 8`

Next, we determine the equation using:

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

`y - 58 = 8(x - 6)`

`y - 58 = 8x - 48`

`y = 8x - 48 + 58`

`y = 8x + 10`