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

Answer:

$y = 3.5x$

Step-by-step 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

$m = \frac{y_2 - y_1}{x_2 - x_1}$

This gives:

$m = \frac{49 - 21}{14 - 6}$

$m = \frac{28}{8}$

$m = 3.5$

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

$y - 21+21 = 3.5x - 21+21$

$y = 3.5x$