Solved: Four Ways to Represent a Function A verbal descriptionof a function is given

Problem 75

Four Ways to Represent a Function

A verbal description of a function is given. Find (a) algebraic, (b) numerical, and (c) graphical representations for the function.

Let T(x) be the amount of sales tax charged on Lemon County on a purchase of ‘x’ dollars. To find the tax, take 8% of the purchase price.

                                                              Step by Step Solution

Step 1 of 3

Consider that ‘x’ is the purchase price in dollars.

And  is the total amount of sales tax charged on the purchase.

(a)

It is given that the sales tax is 8% of the purchase price.

So the relation between the sales tax and purchase price is given by,

Substitute the values,

Thus, the algebraic representation of the function is given by .