A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts. (The fee applies to the order, not to individual shirts) Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use variables, specify what they represent (define them).

Answer:

[tex]Equation = 225 + 50y[/tex]

Step-by-step explanation:

Given

Members = 75

Cost of Shirt = $3

Color = $50 on all shirts

Required

Determine an equation to represent the scenario

Represent the members with x

Such that:

[tex]x = 75[/tex]

First, we need to determine the total cost of ordering x shirts

A shirt costs $3;

So,

[tex]x\ shirts = 3 * x[/tex]

[tex]x\ shirts = 3 x[/tex]

Next, we determine the total cost of colors

Represent each color with y

[tex]1\ color = \$50[/tex]

[tex]y\ color = \$50 * y[/tex]

[tex]y\ color = 50 y[/tex]

The required equation is calculated as thus;

[tex]Equation = x\ shirts + y\ color[/tex]

[tex]Equation = 3x + 50y[/tex]

Substitute 75 for x

[tex]Equation = 3 * 75 + 50y[/tex]

[tex]Equation = 225 + 50y[/tex]

Answer:

50 + 3(B) + 50 + 3(R) + 50 + 3(Y) would be the equation.

Step-by-step explanation:

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