Question

12. An online clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping.

a. Write a linear function in the form y = mx + b that represents the total cost, y, in dollars, for a single order of x sweatshirts.

b. Describe how the linear function would change if the shipping charge applied to each sweatshirt.​

Answer 1

a. y = 6.5x + 3.99

b. y = 10.49x

Explanation:

a.

total cost = charge per shirt + flat rate of shipping

y = 6.5x + 3.99

b.

total cost = charge per shirt + shipping charge per shirt

y = 6.5x + 3.99x

y = 10.49x

If the shipping charge applies to every shirt, then the total cost is the cost of the shirts (6.5x) plus the cost of shipping multiplied by the number of shirts (3.99x)