Question

A wholesale club sells eggs by the dozen. write an eqaution that relates the total cost of eggs (y) to the number of dozens of eggs (x)

Dozen Cost ($)
6 21
8 28
10 35
14 49

Answer 1

`y = 3.5x`

Explanation:

Required

Determine the equation

First, pick corresponding x and y values

`(x_1,y_1) = (6,21)`

`(x_2,y_2) = (14,49)`

Next, calculate the slope

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

This gives:

`m = (49 - 21)/(14 - 6)`

`m = (28)/(8)`

`m = 3.5`

The equation is then calculated using:

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

`y - 21 = 3.5(x - 6)`

`y - 21 = 3.5x - 21`

Add 21 to both sides

`y - 21+21 = 3.5x - 21+21`

`y = 3.5x`