2. Suppose that in the sales tax example, we wanted the output to be the total cost of the piece of merchandise instead of just the tax. Let C be the name of the cost function. Use the sales tax rate that is in effect where you live. (If you happen to live in a location with no sales tax, use 8%.)

2. If you purchase a CD priced at $13.79, determine the total cost. Use functional notation to represent the cost.

3. If you purchase an item costing $59.95, determine the total cost. Use functional notation to represent the cost.

4. If the price of an item is P dollars, describe in words how you calculate C (P), the cost of the item.

5. Determine a formula for C (P). Simplify your formula as much as possible.

Question

Mathematics

Aidan Chambers

16 October, 13:02

2. Suppose that in the sales tax example, we wanted the output to be the total cost of the piece of merchandise instead of just the tax. Let C be the name of the cost function. Use the sales tax rate that is in effect where you live. (If you happen to live in a location with no sales tax, use 8%.)

2. If you purchase a CD priced at $13.79, determine the total cost. Use functional notation to represent the cost.

3. If you purchase an item costing $59.95, determine the total cost. Use functional notation to represent the cost.

4. If the price of an item is P dollars, describe in words how you calculate C (P), the cost of the item.

5. Determine a formula for C (P). Simplify your formula as much as possible.

+2

Answers (1)

Know the Answer?

Beatrice Calhoun · Answer 1

1. If C is the cost function, then we have the equation of the function as

C (P) = P + 0.08P

P is the tax-free sales cost

we use 8% tax rate

3. If the price is $13.79

C ($13.79) = 1.08 ($13.79) = $14.89

4. If the price is $59.95

C ($59.95) = 1.08 ($59.95) = 64.75

5. C (P) = P + 0.08P

Simplifying,

C = 1.08P