The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The graph represents the two companies’ prices. What is the linear equation that represents each T-shirt company?
Shirt Box:
y = 10.5x
Just Tees:
Answers
ANSWER ⤵️
Equation for the 1st company is y = 10.5x
AND Equation for the second company is y = 7.5x + 30
Where
x = number of T shirts
y = total cost
For the total cost to be equal for both companies, we have
10.5x = 7.5x + 30
10.5 x - 7.5 x = 30
3 x = 30
x = 30/3
x = 10
The Volleyball team will have to buy 10 T-shirts from each company so that their cost becomes equal.
The total amount for each company = 10.5x = 10.5 (10) = $ 105
OR
The total amount for each company = 7.5x + 30 = 7.5(10) + 30 = 75 + 30
= $105
Given:
y = 10.5x
y = 7.5x + 30
To Find:
What is the linear equation that represents each T-shirt company?
Solution:
Equation for the 1st company is y = 10.5x
AND Equation for the second company is y = 7.5x + 30
Where
x = number of T shirts
y = total cost
For the total cost to be equal for both companies, we have
10.5x = 7.5x + 30
10.5 x - 7.5 x = 30
3 x = 30
x = 30/3
x = 10
The Volleyball team will have to buy 10 T-shirts from each company so that their cost becomes equal.
The total amount for each company = 10.5x = 10.5 (10) = $ 105
OR
The total amount for each company = 7.5x + 30 = 7.5(10) + 30 = 75 + 30
= $105
Hence, y = 10.5x is the linear equation representing the first comany and y = 7.5x + 30 represents the second company.