Question

John is buying t-shirts for his team at the Hooley plunge. Shirts-4-U charges $5 per shirt and a set up free. John got 30 shirts for $175. Write an equation in slope intercept form to model this situation.M=___ Given point is (__,__)Equation: y=__ x + __

Answer 1

we are given that the cost of t-shirts follows a linear relationship. If "x" is the number of t-shirts then the total cost must be equal to:

$y=5x+b$

Since the cost of 30 shirts is $175, that means that we have the following point:

$(x,y)=(30,175)$

Replacing the point in the equation we get:

$175=5(30)+b$

Solving the operations:

$175=150+b$

Solving for "b" by subtracting 150 to both sides:

$\begin{gathered} 175-150=150-150+b \\ 25=b \end{gathered}$

Replacing we get:

$y=5x+25$