Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?

PAY = COST + 0.06 * COST
P=C(1+1.06)
P=1.06C
P= (32,000)= 1.06*32000= $33920.00

HOW WOULD I SHOW A GRAPH ON THIS PROBLEM?

To show a graph for this problem, you can plot the cost of the purchase on the x-axis and the total price (including tax) on the y-axis.

1. Choose a scale for the x and y-axis that allows you to represent the cost and total price appropriately. For example, you could use increments of $5,000 for the x-axis and increments of $1,000 for the y-axis.

2. Plot the points on the graph using the equation P = 1.06C. For each cost value on the x-axis, calculate the total price (P) by multiplying the cost (C) by 1.06.

For example, for a cost of $32,000, the total price would be $33,920. Plot this point on the graph by drawing a dot at the corresponding location (32,000, 33,920).

3. Repeat step 2 for various cost values to create a set of points. Connect the dots using a smooth line to represent the relationship between cost and total price.

4. Label the x-axis as "Cost of Purchase" in dollars and the y-axis as "Total Price" in dollars. Add a title to the graph, such as "Relationship between Cost and Total Price in Pennsylvania."

5. Add any necessary gridlines or scale markings to enhance readability.

By following these steps, you can create a graph that visualizes the relationship between the cost and total price of a purchase in Pennsylvania, taking into account the 6% sales tax.