Question

problem 2
write an equation that expresses the output as a function of the input.
the total cost, c, after a sales tax of 7% is applied to the cost of a purchase, p.

Explanation:

Step1: Understand the sales tax effect

The sales tax is 7% of the purchase price \( p \). So the tax amount is \( 0.07p \).

Step2: Form the total cost equation

The total cost \( c \) is the purchase price plus the tax. So \( c = p + 0.07p \), which simplifies to \( c = 1.07p \).

Answer:

\( c = 1.07p \)