Question

The following table shows the cost of apples. Number of 3 5 8 11 Apples (2) $2.37 Cost (y) $3.95 $6.32 $8.69 Assume the cost of apples is a linear function of the number of apples purchased. 39 www Wwwwwwwwwwwwwwww B Part A www Write a linear equation that describes the cost of apples, y, in dollars, as a linear function of the number of apples purchased, I.

Answer 1

We will calculate the linear equation, first we need to find the slope

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

where

3=x1

5=x2

2.37=y1

3.95=y2

$m=\frac{3.95-2.37}{5-3}=\frac{1.58}{2}=0.79$

then we will substitute in the next formula

$y-y_1=m(x-x_1)$$\begin{gathered} y-2.37=0.79(x-3) \\ y-2.37=0.79x-2.37 \\ y=0.79x \end{gathered}$

the linear equation is

y=0.79x