The number P of British pounds you can get from a bank is a linear function of the number D of American dollars you pay. An American tourist arriving at Heathrow airport in England went to a banking window at the airport and gave the teller 70 American dollars. She received 46 British pounds in exchange. In this exercise, assume there is no service charge for exchanging currency.
What is the rate of change, or slope, of P with respect to D?
(Note: You need two values to calculate slope, but you were given
only one. If you think about it, you know the other value. How many
British pounds can you get for zero American dollars? Round your
answer to five decimal places.)
pounds per dollar
Explain in practical terms what this number means.
This means each dollar is worth
(b) A few days later, the American tourist went to a bank in
Plymouth and exchanged 130 American dollars for British pounds. How
many pounds did she receive? (Round your answer to two decimal
(c) Upon returning to the airport, she found that she still had £11.84 in British currency in her purse. In preparation for the trip home, she exchanged that for American dollars. How much money, in American dollars, did she get? (Round your answer to two decimal places.)
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