Quiz about Find the Rule of a Function

Question 1

Find the function rule.

Accepted Answer

y = 2x+3

Answer

y = 2x

Answer

y = 3x+3

Answer

y = -2x+3

Question 2

Find the function rule.

Accepted Answer

y = -2x +10

Answer

y = -2x -10

Answer

y = 2x +10

Answer

y = 2x-10

Question 3

A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?

Accepted Answer

c = 12p + 3

Answer

c = 12p

Answer

c = 3p

Answer

c = 12 + 3p

Question 4

Identify the function rule that best represents the following statement:
A bottle rocket is being launched from the roof of an 80 meter tall building. If the rocket travels straight up at a rate of 22 m/s, what is the total height of the rocket as a function of time?

Accepted Answer

H = 80 + 22x

Answer

H = 108x

Answer

H = 80 - 22x

Answer

H = 80x + 22

Question 5

Identify the function rule that best represents the following statement:
A soda machine sells drinks for 75 cents each. Let d represent the number of drinks bought and C represent the total cost.

Accepted Answer

C = $0.75d

Answer

d = $0.75C

Answer

d = $0.75 + C

Answer

C = $0.75 + d

Question 6

A plumber charges a service fee of $40 plus $25 per hour for labor.
(A) Write a function rule for the total cost of hiring the plumber for a job that takes x hours.
(B) How much would it cost to hire the plumber for a job that takes 4 hours?

Accepted Answer

(A) y = 40 + 25x
(B) $140

Answer

(A) y = 40x + 25
(B) $185

Answer

(A) y = 40 + 25x
(B) $185

Answer

(A) y = 40x + 25
(B) $140

Question 7

The school cafeteria has 285 cartons of milk in stock. Each day, a total of 60 cartons are sold. Which function rule best represents this situation?

Accepted Answer

y = 285 - 60x

Answer

y = 285x + 60

Answer

y = 285x - 60

Answer

y = 285 + 60x

Question 8

A water tank holds 84 gallons. When it began to leak it lost 3 gallons every hour. Write an equation to find the amount of water "y" the tank will have after "x" number of hours.

Accepted Answer

y = 84 - 3x

Answer

y = 3 - 84x

Question 9

Identify the function rule that best represents the following statement:
An apple rolled off a 4 ft table and fell at an average velocity of 0.8 ft/sec. Let h represent the height off the ground of the apple and t the falling time.

Accepted Answer

h = 4 - 0.8t

Answer

h = 4 + 0.8t

Answer

h = 4.8t

Answer

h = 3.2t

Question 10

Identify the function rule that best represents the following statement:
The base price (P) of a pizza is $4.99 plus an additional $0.95 for each topping (t).

Accepted Answer

P = 4.99 + 0.95t

Answer

P = 4.99 - 0.95t

Answer

P = 5.94t

Answer

t = 4.99P + 0.95

Question 11

What equation represents this function:

(1, -1), (2, 5), (3, 15), (4, 29), (5, 47)

Accepted Answer

y = 2x² - 3

Answer

y = -2x² - 3

Answer

y = 2x² + 3

Answer

y = x² - 3

Question 12

What rule represents this function:

(1, 8), (3, 18), (5, 28), (7, 38), (9, 48)

Accepted Answer

y = 5x + 3

Answer

y = -10x + 18

Answer

y = -5x + 13

Answer

y = 10x - 2

Question 13

Find the function rule for the function table.

Accepted Answer

2n

Answer

2/n

Answer

n + 2

Answer

n - 2

Question 14

Write the function rule for the following table.

Accepted Answer

5x + 1

Answer

5x

Answer

x + 5

Answer

x + 1

Question 15

Patrick earns $20 for every lawn that he mows. Write an equation used to find t, the total amount of money he earns from mowing n lawns.

Accepted Answer

t = 20n

Answer

n = 20t

Answer

t = n + 20

Answer

t = n - 20

Question 16

A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?

Accepted Answer

c = 12p + 3

Answer

c = 12p

Answer

c = 3p

Answer

c = 12 + 3p

Question 17

The output is four times the input.

Accepted Answer

y = 4x

Answer

y = x/4

Answer

4x

Answer

y = x +4

Question 18

The number of multiple-choice questions on a test is ten times the number of open-ended questions.  Write a function that describes the relationship.

Accepted Answer

y = 10x

Answer

x = 10y

Answer

y = 10 + x

Answer

x = 10 + y

Question 19

The output is eight more than the input

Accepted Answer

y = x + 8

Answer

x + 8

Answer

x = y + 8

Answer

y = x - 8

Question 20

The output is eight less than three times the input.

Accepted Answer

y = 3x - 8

Answer

3x - 8

Answer

y = 8 - 3x

Answer

8 - 3x

Question 21

The output is 4 less than half the input.

Accepted Answer

y = x/2 - 4

Answer

y = 2x - 4

Answer

y = 4 - 2x

Answer

y = 4 - x/2

Question 22

The cost of admission for a student is 4 less than the cost of admission for an adult.

Accepted Answer

y = x - 4

Answer

x - 4

Answer

4 - x

Answer

y = 4 - x

Question 23

The output is one-third the input.

Accepted Answer

y = 1/3x

Answer

1/3x

Answer

3x

Answer

y = 3x

Question 24

The output is thirteen more than four times the input.

Accepted Answer

y = 4x + 13

Answer

y = x/4 + 13

Answer

y = 4x - 13

Answer

y = 4/x - 13

Question 25

Which equation matches the table?

Accepted Answer

y = x + 5

Answer

y = 5x

Answer

y = x - 5

Answer

x = y - 5

Question 26

Which equation matches the table?

Accepted Answer

y = 6x

Answer

y = x + 5

Answer

y = x + 6

Answer

times 6

Question 27

Which equation matches the table?

Accepted Answer

y = 3x + 9

Answer

y = x + 9

Answer

y = x + 3

Answer

y = 12x - 3

Question 28

What is the function of the table?

Accepted Answer

y=x+2

Answer

y=x*2

Answer

y=x/2

Answer

y=x-2

Question 29

What is the function of the table?

Accepted Answer

y=3x+1

Answer

y=4x-2

Answer

y=x+1

Answer

y=x+7

Question 30

y=x-6
What is the missing number?

Accepted Answer

12

Answer

10

Answer

14

Answer

13

Question 31

What is the equation of the linear function?

Accepted Answer

y = 3x + 16

Answer

y = -3x + 10

Answer

y = -3x + 16

Answer

y = 3x + 10

Question 32

Which equation matches the table?

Accepted Answer

y = x + 5

Answer

y = 5x

Answer

y = x - 5

Answer

x = y - 5

Question 33

What is the algebraic equation for this table?

Accepted Answer

y = 480x

Answer

x = y/480

Answer

x + 480 = y

Answer

480 - x = y

Question 34

What algebraic equation shows the relationship between the independent and dependent variables?

Accepted Answer

y = -3x

Answer

y = ax

Answer

y = x + 12

Answer

y =

Question 35

Which equation matches the table?

Accepted Answer

y = x + 4

Answer

y = x

Answer

y = 5x

Answer

y = x - 4

Question 36

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Write an equation in slope-intercept form to represent the situation. (click here to remove the question)

Accepted Answer

y = 20x + 120

Answer

y = 30x + 100

Answer

y = 120x + 120

Answer

y = 50x + 100

Question 37

Given the table, write the equation in the slope-intercept form.

Accepted Answer

y = 2x + 6

Answer

y = 1/3x + 6

Answer

y = 3x + 6

Answer

y = 1/2x + 6

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