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Interpreting Slope and Y-intercept

Total questions: 21

Worksheet time: 2hrs 34mins

Name
Class
Date
1.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1 
d)
1 mile driven/$2
2.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
3.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
4.
The graph represents gasoline consumption when driving a certain distance in km.  What is the meaning of the slope?
a)
The tank started with 50 L of gasoline
b)
the amount of gasoline consumed per km driven
c)
the distance it takes to lose a Liter of gas
d)
the gasoline is leaking because the slope is negative.
5.
An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y=0.25x+5. What does the variable x represent in this function?
a)
The total amount of money the customer spends on music each month
b)
The number of songs the customer downloads each month
c)
The number of customers that use the music service
d)
The cost of downloading one song 
6.
The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.What is the meaning of the y-intercept?
a)
It costs $3.50 per minute to rent a kayak.
b)
For $0 you can rent a kayak for 3.5 minutes.
c)
Every 3.50 minutes, you have to pay $1.00.
d)
You have to pay $3.50 up front before using the kayak.
7.

The graph shows the weight of a bucket as it is filled with sand. What is the weight of the empty bucket?

a)

0 pounds

b)

1 pound

c)

2 pounds

d)

6 pounds

8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.

The graph represents the height of a burning candle. What is the meaning of the x-intercept?

a)

the time it takes to burn the entire candle

b)

the rate at which the candle is losing height

c)

the change in the height of the candle each hour

d)

the original height of the candle

12.
What is the meaning of the y-intercept?
a)
The hamburger will cost $1.90 without any toppings.
b)
The hamburger will cost $1.40 without any toppings. 
c)
The cost of the hamburger is $1.90 with one topping
d)
The cost of the hamburger doesn't change no matter how many toppings there are.
13.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
14.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
15.

What conclusion cannot be drawn from this graph?

a)

Each deposit they make is $50

b)

This person started with $50 in their account.

c)

The slope is 100

d)

The equation for this graph is y = 100x + 50

16.

Choose the slope and Y-intercept of this graph.

a)

Slope: 1

Y-int: 1,000

b)

Slope: 100

Y-int: 1,000

c)

Slope: -100

Y-int: 1,000

d)

Slope: 1

Y-int: 10

17.
What does 'b" represent in
y = mx + b
a)
y-intercept
b)
x-intercept
c)
nothing
d)
slope
18.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
19.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

c)

y=-5x + 20

d)

y = 5x - 20

20.

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

a)

y = 4x + 1.50

b)

y = 1.50x + 4

c)

y = -4x +1.50

d)

y = 4x - 1.50

21.

Suppose that a bike rents for $4 plus $1.50 per hour. If Liz has $22 how many hours can she rent a bike?

a)

5

b)

16

c)

18

d)

12

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