Free Printable #018 - 2.4 - Linear Applications #2

1.

Violet has an Internet business selling paint sets. After an initial website fee each week, she makes a profit of $0.75 on each set she sells. If she sells 8 sets and she makes $2.25; write an equation in point-slope form representing her weekly possible earnings.

a)

y - 2.25 = 0.75(x - 8)

b)

y - 8 = 0.75(x - 2.25)

c)

y - 8 = 2.25(x - 0.75)

d)

y - 0.75 = 2.25(x - 8)

2.

A construction company charges $18.00 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total cost for 8 hours of service was $219.00. Find the one-time fee for the trash dumpster. Do not type a $ in your answer.

The construction company charges a one time fee of $ (a) for the use of the trash dumpster.

3.

A company offers premium cable for $29.99 per month plus a one-time set up fee. The total cost for setup and six months of service is $229.94. Find the amount of the one-time set up fee. Do not type a $ in your answer.

The one time set up fee is $ (a) .

4.

To order tickets for a professional hockey game, there is a processing fee in addition to the cost of per ticket. The total cost for 5 tickets is $174.45. The total cost for 8 tickets is $271.95. Find the total cost to order 12 tickets. Round to the nearest cent. Do not type a dollar sign in your answer.

The total cost for 12 tickets is $ (a) .

5.

Find the rate of change/slope.

Then write the point-slope equation using the first point given in the table.

a)

-2 minutes per gallon

y - 80 = -2 (x - 10)

b)

-20 minutes per gallon

y - 80 = -20 (x - 10)

c)

-2 gallons per minute

y -80 = -2 (x - 10)

d)

-20 gallons per minute

y - 80 = -20 (x - 10)

6.

Write the equation of the line shown in point slope form.

a)

$y-7=\frac{3}{4}x\left(x-0\right)$

b)

$y-0=-\frac{3}{4}\left(x-7\right)$

c)

$y+4=-\frac{3}{4}\left(x+4\right)$

d)

$y-4=-\frac{3}{4}\left(x-4\right)$

7.

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write two point-slope form equations for the problem.

a)

y - 0 = 2(x - 10)

y - 5 = 2(x - 20)

b)

y - 0 = 5(x - 10)

y - 5 = 5(x- 20)

c)

y - 10 = 2(x - 0)

y - 20 = 2(x - 5)

d)

y - 10 = 6(x - 0)

y - 20 = 6(x - 5)

8.

A climber is on a hike.

After 2 hours, he is at an altitude of 400 feet.

After 6 hours, he is at an altitude of 700 feet.

What is the rate of change?

What is a point-slope equation for the climber?

a)

rate of change: 200

y - 700 = 200(x - 6)

b)

rate of change: 75

y - 6 = 75(x - 700)

c)

rate of change: 300

y - 700 = 300(x - 6)

d)

rate of change: 75

y - 700 = 75(x - 6)

9.

There is a deposit for renting a moving truck, plus a charge of $0.50 per mile driven. If the truck is driven 48 miles, it costs $64 to rent a truck (including the deposit). Find the deposit. Do not type a $ sign.

The deposit is $ (a) .

10.

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Find the cost of 4 lessons. Do not type a $ in your answer.

The cost of 4 lessons is $ (a) .

11.

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent?

Jennifer rented (a) movies.

12.

To order tickets for a professional hockey game, there is a processing fee in addition to the cost of per ticket. The total cost for 5 tickets is $174.45. The total cost for 8 tickets is $271.95. Find the processing fee. Round to the nearest cent.

The processing fee is $ (a) .

#018 - 2.4 - Linear Applications #2

Total questions: 12

Worksheet time: 3hrs 0mins

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