Question

Write a linear equation that represents the cost of buying T-shirts from Paula’s Printing. Identify the meaning of each variable in your equation.

Answer 1

Answer:

$y=21.50x$

Step-by-step explanation:

Let

x ----> the number of t-shirts

y ----> the cost of buying T-shirts from Paula’s Printing in dollars

take two points from the given data

we have

(2,43) and (4,86)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{86-43}{4-2}$

$m=\frac{43}{2}=\ 21.50\ per\ t-shirt$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=21.50$

$(x1,y1)=(2,43)$

substitute

$y-43=21.50(x-2)$

step 3

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-43=21.50x-43$

$y=21.50x-43+43$

$y=21.50x$

This linear equation represent a proportional relationship (the line passes through the origin)