a) A statement defining any unknown quantities in the problem in terms of variables.

b) An equation involving the variable(s) corresponding to the information given in the problem.

c) A complete solution to the equation, showing all work.

6)The amount of money spent at the gas station varies directly with the number of gallons purchased. When 11.5 gallons of gas were purchased the cost was $37.72. How much would 8 gallons of gas cost?

7)The number of centimeters y in a linear measurement varies directly with the number of inches x in the measurement. Pablo's height is 152.4 centimeters or 60 inches. What is Maria's height in centimeters if she is 64 inches tall?

8) There are a total of 286 juniors and seniors at a local community college.If there are 72 more seniors than juniors, how many seniors are at the college?How many juniors?

9)A freight train starts from Los Angeles and heads for Chicago at 40 mph.Two hours later a passenger train leaves the same station for Chicago traveling 60 mph.How long does it take the passenger train to overtake the freight train?

10)Bobby wants to start saving for his retirement and would like to have at least $150,000 when he retires.If he invests $75,000 today in an account that pays 3.5% interest compounded quarterly, will he reach in goal in 20 years?Assume that no money will be deposited or withdrawn during this time. Show all work to justify your answer and include appropriate units.