Linear Word Problems and Line of Best Fit

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30

A music app charges $2 to download the app plus $1.29 per song downloaded. Write and solve a

linear equation to find the total cost to download 30 songs.

• $42

• $47

• $40.70

• $39

Would you write a linear equation to model the following situation in slope-intercept form or standard form?

Damien wants to make 80 dollars doing yard work. He earns $10 per lawn he mows and $20 per garden he weeds.

• Standard Form

• Slope-Intercept

Richard ordered 3 burgers and 2 orders of fries for himself and his friends. His order cost $12.75. Which equation represents the given situation?

• 3x + 12.75y = 2

• 3x + 2 = 12.75y

• 3x + 2y = 12.75

• 3x - 2y = 12.75

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 a point-slope equation for the climber?

• y - 700 = 200(x - 6)

• y - 6 = 75(x - 700)

• y - 700 = 300(x - 6)

• y - 700 = 75(x - 6)

T-shirts sell for $15 each and collared shirts for $22 each. Shirt sales for one day totaled $421. If 13 collared shirts are sold, how many t-shirts were sold?

• 9

• 16

• 22

• 14

The monthly rent for an 700 square foot office is $500. For an 1500 square foot office, the rent is $900. Write and solve a linear equation to find the monthly rent for a 2000 square foot office.

• $1000

• $1400

• $1350

• $1150

An airplane is at an altitude of 42,000 feet before it begins to descend at a rate of 650 feet per minute. After how many minutes is the plane at an altitude of 16,000 feet?

• 60 min

• 40 min

• 30 min

• 25 min