State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )

Step-by-step explanation:

Given

s = sales tax

p = retail price

The variation is represented as:

s = 12.32 when p = 172.

Required: Determine function s(p)

Convert to equation

Where k is the constant of variation.

Make k the subject

Substitute values for s and p

Multiply by 100/200

Simplify:

To get the function, we substitute 77/1075 for k in:

Express as a function

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step-by-step explanation:

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