Respuesta :
The total number of T-shirts is 10 for the cost to be same, cost is $105, and the equation [tex]\rm y=10.5x[/tex] represents the shirt box company and [tex]\rm y=7.5x+30[/tex] represents the just tees company.
It is given that the system of equations in which there are two linear equations:
[tex]\rm y=10.5x[/tex] ....(1)
[tex]\rm y=7.5x+30[/tex] ....(2)
Where x is the number of t-shirts
and y is the total cost.
It is required to find which linear equation represents each t-shirt company.
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
We have two equations ie.
[tex]\rm y=10.5x\\\rm y=7.5x+30[/tex]
For total cost to be equal for both the company:
[tex]\rm 10.5x=7.5x+30\\\rm 3x =30\\\rm x=10[/tex]
The total number of T-shirts would the volleyball team need to purchase from each company for the total cost to be equal is 10 units.
The total cost for each company will be the same:
[tex]\Rightarrow10.5\times10=7.5\times10+30 \Rightarrow\$105[/tex] (x = 10)
Thus, the total number of T-shirts is 10 for the cost to be same, cost is $105, and the equation [tex]\rm y=10.5x[/tex] represents the shirt box company and [tex]\rm y=7.5x+30[/tex] represents the just tees company.
Learn more about the linear equation here:
brainly.com/question/11897796
Answer:
Thus, the total number of T-shirts is 10 for the cost to be same, cost is $105, and the equation represents the shirt box company and represents the just tees company.
Step-by-step explanation:
