A store selling art supplies find that they can sell x sketch pads each week at p dollars each, according to the formula x=900−300p. What price should they charge if they want to sell 525 pads each week?
A boat is traveling upstream against a current. If the speed of the boat in still water is r and the speed of the current is c then the formula for the distance traveled by the boat is d=(r−c)⋅t where t is time. Find c if d=52 miles, r=16 miles, and t=4 hours.
The first Ferris wheel had a diameter of 250 feet. It had 36 carriages and each of which held 40 people. One trip around took 20 minutes. Find the average speed of a rider. (Use 3.14 as an approximation for π).
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Betsy
Graham
Cynthia
3
Applications
Problem 1
The length of a rectangle is 3 inches less than twice the width. The perimeter is 45 inches. Find the length and width.
In April, Pat bought a Ford Mustang with a 5.0-liter engine. The total price, which includes the price of the car plus sales tax, was $17,481.75. If the sales tax rate was 7.25%, what was the price of the car?
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Aaron
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Problem 3
Two complementary angles are such that one is twice as large as the other. Find the two angles.
A person invests $10,000 in two accounts. One account earns a 5% annually, and the other earns 6%. If the total interest earned in a year is $560, how much is invested in each account?
A piece of string 12 inches long is to be formed into a rectangle. Build a table that gives the length of the rectangle if the width is 1,2,3,4, or 5 inches. Then find the area of each of the rectangles formed.
A company that manufactures ink cartridges finds that they can sell x cartridges each week at p dollars, according to x=1,300−100p. What price should they charge if they want to sell at least 300 cartridges?
The formula F=95C+32 gives the relationship between Celsius and Fahrenheit. If the temperature on a certain day is 86∘ Fahrenheit, what is the temperature in degrees Celsius?
The longest side of a right triangle is 4 inches more than the shortest side. The third side is 2 inches more than the shortest side. Find the length of each side.