Question

A manufacturer of screened sweatshirts includes a shipping charge of $5.99 on all online orders. Customers also pay 2.5% tax on their purchases. There is a linear relationship between c, the cost of the items purchased, and t, the total cost including shipping and tax. Select each statement that correctly represents the relationship between c and t. Mark all that apply. *

Answer 1

t = 1.025c + 5.99

Explanation:

Recall : general for of a linear equation is given by :

y = mx + c

Given the following :

Item cost = c

Shipping charge = $5.99

Tax on purchases = 2.5%

Total cost, t

t = c + tax + shipping cost

Tax on purchase : 2.5% * item cost ; 0.025c

Shipping = $5.99

Hence,

Total cost, t = c + 0.025c + 5.99

t = 1.025c + 5.99