Exponential Functions. Exponential Function where.

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Presentation transcript:

Exponential Functions

Exponential Function where

Side by side comparison to a linear function

Remember for later compound interest formula.

Compare graphs

Increase of 25% Decrease of 15%

First decide if it is a growth or a decay. If the factor is increasing then it is a growth. If the factor is decreasing then it is a decay. Use the following formula to find the factor.

To earn revenue (income), many state and local governments require merchants to collect sales tax on the items they sell. In several localities, the sales tax is assessed at as much as 8% of the selling price and passed on directly to the purchaser 1.Determine the total cost (including the 8% sales tax) to the customer of the following items. Include each step of your calculation in your answer. A greeting card selling for $1.50 A blue-ray DVD player priced at $300

2.If a quantity increases by 50%, how does its new value compare to its original value? The growth factor is formed by adding the specified percent increase to 100% and then changing the percent into it decimal form.

3.What is the new value of a stock portfolio that increased by 50% from its original value of $400? (use 1.50 to determine the new value)

4.The cash register receipt for you new coat, which includes the 8% sales tax, totals $243. What was the ticketed price of the coat? Procedure to find the original value: divide the new value by the corresponding growth factor.

5. It’s a sale you have been waiting for all season. Everything in the store is marked 40% off the original price. Determine the discount price of a pair of sunglasses originally selling for $25.

Consecutive Growth/Decay Use the product of the factors, when applying more than one factor Your Friend arrives at your house. Today’s newspaper contains a 20%- off coupon at Old Navy. The $100 jacket she had been eyeing all season was already reduced 40%. She clipped the coupon, drove to the store, selected her jacket, and walked up to the register. The cashier brought up a price of $48; your friend insisted that the price should have been only $40. The store manager arrived and re-entered the transaction, and again, the register displayed $48. Your friend left without purchasing the jacket and drove to your house to tell you the story.

Individual assignment Growth and Decay Activity