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3-5 Interpret Slope and Y-intercept

Total questions: 20

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

In the equation y = 5x + 4 the slope is

a)

5

b)

x

c)

4

d)

y

2.

In the equation f(x) = 4x – 6 the y-intercept is

a)

4

b)

x

c)

6

d)

-6

3.

In the equation h = 4t – 6 the input is

a)

h

b)

4

c)

t

d)

-6

4.

In the equation c(m) = 50m + 79.50 the output is

a)

50

b)

m

c)

79.50

d)

c(m)

5.

The amount Mike gets paid weekly can be represented by the equation p(α) = 2.75a + 200, where a is the number of fashion accessories he sells that week.

Which of the following statements is true?

I. 2.75 is the amount he gets paid per cellphone accessory

II. a is the number of accessories he sells that week

III. p(a) is the total amount he gets paid

IV. 200 is the amount he is gaurranteed to be paid each week

a)

Statement I only

b)

Statements I and II

c)

Statements I, II, and IV only

d)

All statements I, II, III and IV, are true

6.

Each day, a local cat shelter spends an average of $2.00 on food per cat. The manager estimates the shelter’s daily expenses, assuming there is at least one cat in the shelter, using the function E(x) = 25 + 2.00x.

Select all the statements below that are true.

a)

E(x) is the input

b)

25 represents the shelter's daily nonfood expenses

c)

x represents the number of cats at the shelter

d)

25 is the slope

e)

25 is the constant term

7.

Select all the statements that are true.

a)

" Cookies eaten" is the input

b)

"Calories Consumed" is the output

c)

The point (6,320) means 320 cookies eaten and 6 calories consumed

d)

The slope of the scenario means calories consumed per cookies eaten

8.

The slope in this scenario is... and means....

a)

$0; how much 0 gallons of gas costs

b)

$3.75; the cost of gas per gallon

c)

$15; the cost of gas

d)

4 gallons; the number of gallons

9.

The slope of this table is...

a)

1/3

b)

3 or 3/1

c)

-3 or -3/1

d)

-1/3

10.

The slope of the line between that passes through (-9,0) and (-4, 5) is...

a)

-9

b)

5/-13

c)

-1

d)

1

11.

The y-intercept in the table is...

a)

(0,3)

b)

(-3,0)

12.

Find the y-intercept, b, of the line that passes through the point (5,8) and a slope 3.

a)

b = –7

b)

b = 8

c)

b = 5

d)

b = –16

13.
What does the slope mean in the context of the problem?
a)
The cost will increase by $1.40 per topping
b)
The cost will decrease by $1.40 per topping
c)
The cost will increase by $1.90 per topping
d)
The cost will decrease by $1.90 per topping 
14.
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.
15.
If Dexter pays $8.90 for his hamburger, how many toppings did he get?
a)
3
b)
4
c)
5
d)
6
16.
What is the meaning of the slope?
a)
The cost to get into the fair is $5
b)
The total cost for the day will increase by $1.75 for every ride you go on.
c)
The cost to get into the fair is $1.75
d)
The total cost for the day will increase by $5 for every ride you go on. 
17.
What is the meaning of the y-intercept?
a)
The cost per ride is $1.75
b)
The cost per ride is $5
c)
The cost to get into the fair is $5
d)
The cost to get into the fair is $1.75
18.
How much will you spend in one day if you go on 7 rides?
a)
$7.25
b)
$10.50
c)
$17.25
d)
$22.50
19.
What is the meaning of the slope?
a)
Her bill will increase by $2.95 for every grandchild she brings.
b)
The cost for Mrs. Franklin's meal is $6.85
c)
Her bill will increase by $6.85 for every grandchild she brings.
d)
The cost for Mrs. Franklin's meal is $2.95
20.
What is the meaning of the y-intercept?
a)
Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 
b)
Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 
c)
Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 
d)
Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.