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Slope and Y-Intercept Word Problems

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

Label the slope in the given problem.

Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

a)

m = 8

b)

m = 3

c)

m = 11

d)

m = 5

2.

Label the y-intercept in the given problem.

Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

a)

b = 8

b)

b = 3

c)

b = 11

d)

b = 5

3.

Label the slope in the given problem:
Nicholas received $100 for his birthday. He earns $20 per day babysitting.

a)

m = 100

b)

m = 20

c)

m = 120

d)

m = 80

4.

Label the y-intercept in the given problem:
Nicholas received $100 for his birthday. He earns $20 per day babysitting.

a)

b = 100

b)

b = 20

c)

b = 120

d)

b = 80

5.

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?

a)

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

b)

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

c)

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

d)

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

6.

y = mx + b

7.

What is the equation for the savings account graphed? hint: y=mx+b m=slope b=y-intercept(starting spot)

8.

Consider the following word problem. A job opening at Chik Fil A offers to pay $15 per hour plus a $50 hiring bonus. ​ (a)   is the number that repeats (slope) ​ (b)   is the one time fee (y-intercept)

Choose from the below words

15

50

9.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

10.

The slope represents the average number of​ ​ (a)   grows each day. The ​ (b)   represents the ​ (c)   when it is first planted.

Choose from the below words

inches a bamboo plant

y-intercept

height of the plant

x-intercept

number of days

11.

When the data in the table are graphed on a coordinate grid, the points all lie on the same line. The slope of the line is ​ ​ (a)   . The y-intercept is ​ ​ (b)   . The slope is ​ (c)   because as the x-values increase, the y-values ​ ​ (d)   .

Choose from the below words

-7

17

negative

decreases

0

increases

-4

positive

12.

The graph shows the total amount it cost for using a Moving Van. What are the slope and the y-intercept of the graph?

Slope: ​ (a)  

y- intercept: ​ (b)  

Choose from the below words

2

12\frac{1}{2}  

( 0 , 30)

(30 , 0)

(10, 30)

(5, 30)

0

13.

What does the y-intercept represent?

a)

The amount of each deposit made

($100)

b)

The initial amount of money in the savings account.

($50)

c)

The number of deposits made

d)

The amount of money in the savings account after 50 deposits

14.

The slope is ​ ​ (a)   , and the y-intercept is ​ ​ (b)   . The graph represents a ​ (c)   relationship.

Choose from the below words

positive

0

proportional

negative

non-proportional

1

-1

20

15.

what do the letters m and b represent?

16.

What is the meaning of the y-intercept? (a)   What is the slope? ​ (b)   What does the slope mean? ​ (c)  

Choose from the below words

Colby's initial deposit was $100.

5

How much money he saves per year

Colby started with $0

Colby can only spend $100 dollars

Colby has $100 dollars per year

110\frac{1}{10}

100

The amount of years it takes to save $50

The amount he spends per year

17.

What is the equation for the savings account graphed? hint: y=mx+b m=slope b=y-intercept(starting spot)

18.

The slope of the line is (a)   and the y-intercept is ​ ​ (b)  

Choose from the below words

2

20

10

17

0.5

1/2

4

22

19.

Write the equation that represents this word problem:


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

a)

y= 18x + 1

b)

y= 18x - 1

c)

y= x + 18

d)

y= x - 18

e)

Answer Not Here