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Pricing A concert promoter needs to make from the sale of tickets. The promoter charges for some tickets and for the others. Let represent the number of tickets and represent the number of tickets.
(a) Write an equation that states that the sum of the tickets sold is .
(b) How much money is received from the sale of tickets?
( c ) How much money is received from the sale of tickets?
(d) Write an equation that states that the total amount received from the sale is .
(e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the .
Temperatures and traveling When U.S. citizens travel abroad, they need some understanding of Celsius temperature readings-does one need mittens if the temperature will be ? A quick conversion formula often used by tour guides to give a rough Fahrenheit equivalent for a Celsius reading is
The exact conversion formula relating these readings is
(a) At what temperatures, Fahrenheit and Celsius, do these formulas agree?
(b) As the Celsius temperature rises above the reading found in part (a), does the tourist formula overestimate or underestimate the actual Fahrenheit temperature? How can you tell this from the two given formulas?
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