Linear Application

If a line has a slope of 3/4 a line that is parallel has a slope of what?

• 3/4

• 4/3

• -3/4

• -4/3

Tags

CCSS.8.EE.B.6

If a line has a slope of -5/6 a line that is parallel has a slope of what?

• -5/6

• 6/5

• 5/6

• -6/5

Tags

CCSS.8.EE.B.6

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.

• y - 2.25 = 0.75(x - 8)

• y - 8 = 0.75(x - 2.25)

• y - 8 = 2.25(x - 0.75)

• y - 0.75 = 2.25(x - 8)

Find the rate of change/slope.

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

• -2 minutes per gallon

  y - 80 = -2 (x - 10)

• -20 minutes per gallon

  y - 80 = -20 (x - 10)

• -2 gallons per minute

  y -80 = -2 (x - 10)

• -20 gallons per minute

  y - 80 = -20 (x - 10)

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

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.

• y - 0 = 2(x - 10)

  y - 5 = 2(x - 20)

• y - 0 = 5(x - 10)

  y - 5 = 5(x- 20)

• y - 10 = 2(x - 0)

  y - 20 = 2(x - 5)

• y - 10 = 6(x - 0)

  y - 20 = 6(x - 5)

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.

Tags

CCSS.7.EE.B.4A

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?

• rate of change: 200

  y - 700 = 200(x - 6)

• rate of change: 75

  y - 6 = 75(x - 700)

• rate of change: 300

  y - 700 = 300(x - 6)

• rate of change: 75

  y - 700 = 75(x - 6)

A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

Write a linear function to model this situation.

• 2x + 5y = 120

• 12x + 15y = 120

• 12 + 15y = 2x

• y = 12x + 15

Tags

CCSS.6.EE.C.9

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit.

What type of linear function should you write to model this situation?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form