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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.

The following table shows the cost of apples Number of 3 5 8 11 Apples 2 237 Cost y 395 632 869 Assume the cost of apples is a linear function of the number of class=

Respuesta :

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

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where

3=x1

5=x2

2.37=y1

3.95=y2

[tex]m=\frac{3.95-2.37}{5-3}=\frac{1.58}{2}=0.79[/tex]

then we will substitute in the next formula

[tex]y-y_1=m(x-x_1)[/tex][tex]\begin{gathered} y-2.37=0.79(x-3) \\ y-2.37=0.79x-2.37 \\ y=0.79x \end{gathered}[/tex]

the linear equation is

y=0.79x

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