Question

Solve the following problems:

7) The stopping distance, d, of a particular car after the brakes are applied varies directly as the square of the rate, r. If the car is travelling 40 mph, it can stop in 80 feet. How many feet will it take the same car to stop when it is travelling 80 mph?

a) Assign the necessary variable(s) and define what they represent.
b) Write an equation involving the variable(s) corresponding to the information given in the problem.
c) Solve the equation found in b), show all work.
d) Write a complete answer (with a complete sentence) to the question asked, including appropriate units.


8) If there are 435 Members of Congress and 57 more Republicans than Democrats, how many of each party are there, assuming that there are no Independents?

a) Assign the necessary variable(s) and define what they represent.
b) Write an equation involving the variable(s) corresponding to the information given in the problem.
c) Solve the equation found in b), show all work.
d) Write a complete answer (with a complete sentence) to the question asked, including appropriate units.


9) Janet set off on a bicycle trip at 6:30 am at an average rate of 24 miles per hour. Her husband, Bob, promised to bring her some lunch, and he set off by car 2 hours after Janet left, driving at an average speed of 40 miles per hour. At what time did Bob catch up with Janet?

a) Assign the necessary variable(s) and define what they represent.
b) Write an equation involving the variable(s) corresponding to the information given in the problem.
c) Solve the equation found in b), show all work.
d) Write a complete answer (with a complete sentence) to the question asked, including appropriate units.


10) Becky would like to have at least $250,000 saved for her daughter’s college education. If she invests $80,000 in an education account paying 7.15% interest compounded quarterly, will she reach her goal in 18 years? Show all work to justify your answer and include appropriate units.

a) Assign the necessary variable(s) and define what they represent.
b) Write an equation involving the variable(s) corresponding to the information given in the problem.
c) Solve the equation found in b), show all work.
d) Write a complete answer (with a complete sentence) to the question asked, including appropriate units.

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Algebra Problems

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