Helping students gain understanding and self-confidence in algebra.
smbroadb wrote:1. Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on July 6, 2011, one U.S. dollar could purchase 0.6985 Euros and one Euro could purchase 1.3822 Canadian dollars. Let f(x) represent the number of Euros you can buy with x dollars and let g(x) represent the number of Canadian dollars you can buy with x Euros.
a. Find a function that relates dollars to Euros
smbroadb wrote:b. Find a function that relates Euros to Canadian Dollars.
smbroadb wrote:c. Then use the results of a) and b) to find a function that relates U.S. Dollars to Canadian Dollars.
smbroadb wrote:2. You make a purchase at a local store, but what you've bought is too big to take home in your car. For a small fee, you arrange to have the store deliver your purchase. You pay for your purchase, plus the sales tax, plus the fee. The tax rate is 8.5% and the delivery fee is $30.
a. Write a function P(x) for the total, including taxes, on the purchase amount x.
smbroadb wrote:b. Write a function T(x) for the total, including the delivery fee, on the purchase amount x.
smbroadb wrote:c. Calculate and interpret (P*T)(x) and (T*P)(x). Which results in a lower cost to you?
smbroadb wrote:I didn't mean multiply I just didn't know how to put the circle in between I wanted to compare the composite functions