# Worksheet: Completing Function Tables and Finding Function Rules

In this worksheet, we will practice organizing input and output values in a function table and finding the function rule.

Q1:

Write the equation that expresses in terms of for the numbers in the table.

 π₯ π¦ 0 1 2 3 7 8 9 10
• A
• B
• C
• D
• E

Q2:

At an amusement park, a group of children decided to ride the boomerang ride. It cost for one ticket. The table shows how the total price of the tickets depends on the number of passengers. Find the missing values in the table.

 Number of Passengers Price of Tickets 1 2 3 4 5 6 \$ 1 6 \$ 2 4 \$ 4 0
• A\$8, \$32, \$48
• B\$16, \$64, \$96
• C\$8, \$48, \$88
• D\$16, \$24, \$40
• E , \$48, \$136

Q3:

At Elmwood Middle School, sixth graders spend 3 hours every night studying, seventh graders spend 4 hours, eighth graders spend 5 hours. Let the studentsβ grade be the input , what is the function rule between the studentsβ grade and the amount of time the students spend on homework every night?

• A
• B
• C
• D
• E

Q4:

A supermarket deducts \$13 off the total purchase for customers visiting between 5 am and 6 am. Find a function rule that relates the final cost to the total purchase amount. Let the total purchase amount be denoted by and the final cost by .

• A
• B
• C
• D
• E

Q5:

What is the mathematical relation between and for the values in the table?

 Input ( Output ( π₯ π¦ ) ) 16 63 87 13 60 84
• A
• B
• C
• D

Q6:

The table shows the relationship between the number of gas canisters bought and the total cost.

 Number Bought Total Cost 10 15 20 30 \$25.00 \$37.50 \$50.00 \$75.00

Write an equation for the total cost, , of buying gas canisters.

• A
• B
• C
• D
• E

Q7:

Write the equation that expresses in terms of for the numbers in the table.

 π₯ π¦ 0 1 2 3 6 5 4 3
• A
• B
• C
• D
• E

Q8:

What is the mathematical relation between and for the values in the table?

 Input ( Output ( π₯ π¦ ) ) 117 450 144 13 50 16
• A
• B
• C
• D

Q9:

The table represents a proportional relationship between and . Write an equation to describe the relationship between and .

 π₯ π¦ 1 2 1 3 2 2 1 2 3 4
• A
• B
• C
• D
• E

Q10:

Write the equation that expresses in terms of for the numbers in the table.

 π₯ π¦ 2 3 4 5 1 6 11 16
• A
• B
• C
• D
• E

Q11:

Use the table to write an expression for the total cost, , of buying gas canisters.

 Number Bought Total Cost 10 12 15 20 \$ 2 5 . 0 0 \$ 3 0 . 0 0 \$ 3 7 . 5 0 \$ 5 0 . 0 0
• A
• B
• C
• D
• E

Q12:

James sold glasses of lemonade during the spring and summer to raise money to buy a car. The table shows how many glasses he sold each month as well as the profit he made. Write an equation which shows the relationship between the number of glasses sold and the profit made .

March April May June July August September
Glasses Sold 8 3 2 12 10 5 4
Profit \$36.00 \$13.50 \$9.00 \$54.00 \$45.00 \$22.00 \$18.00
• A
• B
• C
• D
• E

Q13:

Write the equation that expresses in terms of for the numbers in the table.

 π₯ π¦ 5 6 7 8 β 6 β 8 β 1 0 β 1 2
• A
• B
• C
• D
• E

Q14:

The table represents a linear relationship between and . Write an equation to describe the relationship between and .

 π π 0 1 2 3 β 1 3 7 11
• A
• B
• C
• D
• E

Q15:

The table shows the gym membership charges according to the number of months of subscription. Write an equation that represents the cost of subscription, and then determine how much a subscription for 12 months would cost.

 Number of Months, Cost, π π 1 2 3 \$19 \$38 \$57
• A , \$228
• B , \$228
• C , \$456
• D , \$31
• E , \$31

Q16:

Write the equation that expresses in terms of for the numbers in the table.

 π₯ π¦ 0 1 2 3 5 7 9 11
• A
• B
• C
• D
• E

Q17:

Write the equation that expresses in terms of for the numbers in the table.

 π₯ π¦ 0 1 2 3 3 0 β 3 β 6
• A
• B
• C
• D
• E

Q18:

The table shows the relationship between and . Which statement correctly describes the relationship?

 π₯ π¦ 2 4 8 10 8 16 32 40
• ADivide by 4 to find .
• BSubtract 2 from to find .
• CMultiply by 4 to find .
• DAdd 2 to to find .
• EDouble to find .

Q19:

The owner of a factory calculates the daily wage of a worker according to the mathematical relation where is the daily wage in LE and is the number of overtime hours worked that day. Use the mathematical relation to complete the table below.

 Number of Overtime Hours Total Daily Wage 6 11 74 98
• A50, 10, 66, 14
• B22, 10, 52, 14
• C36, 10, 66, 14
• D50, 10, 80, 14

Q20:

The table shows the relationship between and . Which statement correctly describes the relationship?

 π₯ π¦ 2 4 8 10 12 14 18 20
• AEach value of is 10 divided by .
• BEach value of is 10 less than .
• CEach value of is 10 times less than .
• DEach value of is 10 greater than .
• EEach value of is 10 times greater than .

Q21:

Find the function rule for the following input-output table:

 Input Output π₯ π¦ 1 3 5 8 11 3 11 19 31 43
• A
• B
• C
• D
• E

Q22:

Use the rule to find the missing number in this input-output table.

Rule:

 In ( Out π ( 3 ) Γ π β 7 ) 4 5 6 7 5 8 14

Q23:

The rule for the function machine is . What is the output when the input is 9?

Q24:

Which of the following equations describes the data in the given table?

 π₯ π¦ β 4 β 3 β 2 0 1 22 15 10 6 7
• A
• B
• C
• D
• E

Q25:

Find a linear , quadratic , or exponential equation that fits the data in the given table.

 π₯ π¦ β 1 0 1 2 3 β 2 0 β 2 β 8 β 1 8
• A
• B
• C
• D
• E