Question

Solve each of the following variation problems by setting up a formula to express the relationship,...

Solve each of the following variation problems by setting up a

formula to express the relationship, finding the constant, and then

answering the question.

The number of lottery tickets sold varies directly varies di-

rectly as the value of the prize. If 200 tickets are sold for a

prize worth $1000, how many tickets will be sold when the

prize is worth $1500?

The number of lottery tickets sold varies inversely as the

price of the tickets. If 200 tickets are sold when the price is

$5 per ticket, how many tickets will be sold if the price per

ticket is $4?

The time required to build a fence varies inversely as the

number of workers assigned to the project. If three workers

can complete the fence is 18 days, how long would it take

two workers to complete the job?

The number of gallons of gas used by a car (driving along

the road at a constant speed) varies jointly as the distance

traveled and the square of the speed. If four gallons are used

to drive 100 miles at 75mph, how many gallons would be

used to drive 40 miles at 60mph?

Math   Prealgebra   
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