Question

Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's

Answer 1

`y = 3x+7`

Explanation:

Given

See attachment for Mario's pizza table

Required

Determine the equation in slope intercept form

First, we calculate the slope of the table using:

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

From the table, we have:

`(x_1,y_1) = (3,16)`

`(x_2,y_2) = (5,22)`

So, the slope is:

`m = (22 - 16)/(5 - 3)`

`m = (6)/(2)`

`m =3`

The equation is then calculated as:

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

Where:

`(x_1,y_1) = (3,16)`

`m =3`

So:

`y = 3(x - 3) + 16`

Open bracket

`y = 3x - 9 + 16`

`y = 3x+7`