Test 2 Mat 190 Equation Worksheet - 2008 (Page 2 of 2) in pdf

Test 2 Mat 190 Equation Worksheet - 2008 Page 2

Determine if the following pairs of lines cross in one point, are parallel, or are the same line.

−





12.

13.

14.

−



15. A contractor purchases a piece of equipment for $25,000. The operating costs total $25 per hour.

a) What is the rate of change of

b) Find the equation of the line “y” that represents the total

cost of operation per hour?

cost of the piece of equipment plus operation for “x” hours.

c) How much does it cost to operate the

d) How many hours will the piece of equipment run

piece of equipment for 250 hours?

to incur a total cost of $38,250?

16. In 1980, the population of a town was approximately 314,000 people. In 1990, the population of the same

town was approximately 336,000. Let “x” represent the number of years after 1980 and “f(x)” represent the

number of people in the town “x” years after 1980.

a) What is the rate of change

b) Find the equation of the line f(x).

c) What value of x represents

of the population per year?

the year 2004?

d) If the rate of change remains the same,

e) During what year is the population expected to

what is the expected population in 2004?

be 400,000?

17. The cost of renting a U-Haul truck for a day and driving the truck “x” miles is given by the linear equation

C(x) = 0.79x + 29.95.

a) What is the cost of driving the truck 300 miles?

b) How much would it cost to rent a truck

for a day if the truck is not driven any miles?

c) What is the average rate of

d) How many miles can be driven for a cost of $355.43?

change in dollars per mile?

Test 2 Mat 190 Equation Worksheet - 2008 Page 2