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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 + __

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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

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