Answer:
The 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 is Y = $225 + X × $50
Where;
Y = The total cost of the order
X = The number of colors on the shirts
Step-by-step explanation:
The number of T-shirts required by the members of the school choir = 75
The amount charged by the printing company per shirt = $3
The charge for each color to be printed on the shirts = $50
The number of T-shirts ordered = 75
The charge per shirt = $3
The number of colors on the shirts = X
The fee per color on the shirts = $50
The total cost of the order = Y
Therefore, we have;
The basic cost of printing the 75 shirts = The charge per shirt × The number of T-shirts ordered
∴ The basic cost of printing the 75 shirts = $3 × 75 = $225
The total fee of the added colors to the shirt = The number of colors on the shirts × The fee per color on the shirts
∴ The total fee of the added colors to the shirt = X × $50
The total cost of the order, Y = The basic cost of printing the 75 shirts + The total fee of the added colors to the shirt
∴ Y = $225 + X × $50
The equation is therefore;
Y = $225 + X × $50.