Finding Slope and Y-Intercept from Word Problems

Average Rate of Change is also known as...

• y-intercept

• x-intercept

• linear

• slope

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year

• 8 inches per year

• 2 years

• 4 inches per year

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

• y = - 30x + 100

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x + 20

• y = 30 + 20x

• y = 50x

• y = 60x

Mr. Smith gives math tutoring lessons for an initial fee of $50, plus $25 per hour. Which is the correct interpretation of the slope and the y-intercept?

• The $50 initial fee represents the y-intercept; the $25 per hour represents the slope

• The $25 per hour is the y-intercept; the $50 initial fee is the slope

• The slope is $75 per hour; the y-intercept is $0

• The y-intercept is the initial fee of $75; there is no slope

What is the meaning of the y-intercept?

• Colby's initial deposit was $100. 

• Colby's initial deposit was $150

• Colby is adding $5 per week

• Colby is adding $10 per week

What does the y-intercept represent?

• The amount of each deposit made

  ($100)

• The initial amount of money in the savings account.

  ($50)

• The number of deposits made

• The amount of money in the savings account after 50 deposits

Write the slope-intercept form (y=mx+b) for the following situation:

Quincy notices that a tree grows by about one inch every month since he bought it. When he bought the tree, it was 18 inches tall to start.

• y= 18x + 1

• y= 18x - 1

• y= x + 18

• y= x - 18

Write the slope-intercept form (y=mx+b) for the following situation:

Olivia runs every day after school. She has already run 4 miles, and she can run one mile per hour.

• y= x + 4

• y= -x + 4

• y= 4x + 1

• y= 4x - 1

What are the slope and y-intercept of the word problem?

• m=2 b=10

• m=10 b=2

• m=8 b=8

• m=12 b=12