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GenaCL600 [577]
4 years ago
6

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.
Mathematics
1 answer:
vivado [14]4 years ago
3 0

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)

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