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Slope Decreasing Rate with Graph

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Find the rate of change of y with respect to x for the graph.

a)

The balance is increasing S450 each monthly payment

b)

The balance is decreasing $450 each monthly payment

c)

The balance is decreasing $750 each monthly payment

d)

The balance is increasing $750 each monthly payment

2.

Find the rate of change of y with respect to x.

a)

The water level is decreasing 2 inches per hour.

b)

The water level is increasing 2 inches per hour.

c)

The water level is increasing 12\frac{1}{2} inch per hour.

d)

The water level is decreasing 12\frac{1}{2} inch per hour.

3.

Find the rate of change from the graph.

a)

cookies were given away each presentation

b)

cookies were given away each presentation

c)

cookies were given away each presentation

d)

cookies were given away each presentation

4.

Find the rate of change of y with respect to x.

a)

The pool fills at a rate of 1750\frac{1}{750} gallons per hour

b)

The pools fills at a rate of 750 gallons per hour

c)

The pool drains at a rate of 1750\frac{1}{750} gallons per hour

d)

The pool drains at a rate of 750 gallons per hour

5.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

6.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

7.
a)

F

b)

G

c)

H

d)

J

8.

The rate of change for the table is $ (a)   per message.

9.

The rate of change for the table is $ (a)   per week.

10.

The rate of change. Ratio of the change in output (y) to the change in input (x)

a)

Slope

b)

Y-Intercept

c)

Vertex

d)

Minimum

11.

A turning point where the function was decreasing (going down) and changes to increasing (going up)

a)

maximum

b)

minimum

c)

vertex

d)

domain

12.

The graph of which equation has a negative slope?

a)

y = 5x-3

b)

x + y = 5

c)

y - 2 = 4x

d)

y = 0

13.

The equation y=mx+b, where m = slope, b = y-intercept, (x,y) is a point on the line

a)

Slope-Intercept Form

b)

Set Builder Notation

c)

Domain

d)

Vertex

14.

What is the slope of the line whose equation is y = -3x+6

a)

b)

2

c)

-3

d)

6

15.

Brenda lit a candle in her kitchen and recorded how long it took the candle to burn completely. She displayed her data in the graph below. What are the slope and the y-intercept of Brenda’s graph?

a)

Slope = 1/3 ; y-intercept = 7

b)

Slope = –3; y-intercept = 21

c)

Slope = –1/3; y-intercept = 21

d)

Slope = –1/3; y-intercept = 7

16.

Michael owns his own window cleaning business. He is cleaning the windows of a three story building. The graph shows his height from the ground floor while washing windows. Choose the correct words to correctly describe each section of the graph. Section F has a _____ slope and represents going to the _____ floor.

a)

zero; first

b)

positive; third

c)

negative; first

d)

zero; second

e)

negative; third

17.
a)
F
b)
H
c)
G
d)
I
18.
a)
A
b)
B
c)
C
d)
D
19.

On a graph comparing speed over time, a section of line with a negative slope means

a)

that you are going downhill.

b)

that you are going uphill.

c)

that your speed is increasing.

d)

that your speed is decreasing.

20.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section C? Why is the distance from school decreasing?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.