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Lesson: Completing Function Tables and Finding Function Rules

Question Video: Finding the Rule for a Given Function Table

02:45

Worksheet: Completing Function Tables and Finding Function Rules • 13 Questions

Q1:

Fill in the input-output table for the function .

Input 0 2 4 5
Output
  • A3, 13, 23, 28
  • B3, 13, 23, 27
  • C3, 12, 23, 28
  • D0, 12, 23, 28
  • E0, 13, 23, 28

Q2:

Find the rule for the given function table.

Input 1 4 10
Output 9 12 18
  • A
  • B
  • C
  • D
  • E

Q3:

Find the rule for the given function table.

Input 0 2 5
Output 6 4 1
  • A
  • B
  • C
  • D
  • E

Q4:

Find the rule for the given function table.

Input 3 6 7
Output 12 15 16
  • A
  • B
  • C
  • D
  • E

Q5:

Noah is 9 years older than Mason. Find a function rule that relates Noah’s age to Mason’s age. Let Mason’s age be denoted by and Noah’s age by .

  • A
  • B
  • C
  • D
  • E

Q6:

At a sales firm, sixth-year sales associates work 3 hours every day as overtime, seventh-year sales associates work 4 hours, and eighth-year sales associates work 5 hours. Find a function rule that relates the number of years the associates worked for the firm to the amount of time they spend as overtime. Let represent the number of years and the amount of time.

  • A
  • B
  • C
  • D
  • E

Q7:

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

Q8:

A cyclist leaves a town and travels at a constant speed. The table below shows the distance travelled against time. Use it to find the cyclist's speed and the distance he travelled in 630 minutes.

Distance Travelled (km) 60 120 180 240
Time (h) 3 6 9 12

  • AThe speed is 20 km/h and the distance is 210 km.
  • BThe speed is 20 km/h and the distance is 240 km.
  • CThe speed is 20 km/h and the distance is 420 km.
  • DThe speed is 10 km/h and the distance is 210 km.

Q9:

Find the function rule for this table. Then calculate the two missing numbers.

Input 12 13 14 15 16
Output 76 82 88
  • A , 94, 100
  • B , 94, 117
  • C , 19, 100
  • D , 110, 100
  • E , 94, 20

Q10:

Crocodile can swim up to 10 miles per hour. Write a function rule that represents the total number of miles a crocodile can swim at this rate, using to represent the number of hours and to represent the total number of miles. Then, use that function rule to determine the total number of miles a crocodile can swim in five hours.

  • A , 50
  • B , 60
  • C , 15
  • D , 5
  • E , 10

Q11:

An online eBook store charges $30 a year for a membership and $2 for each book downloaded. Write a function rule to represent the total cost, letting represent the number of books and the total cost. Then, use the function rule to determine the total cost if you download 52 books in a year.

  • A , $134
  • B , $24
  • C , $1 562
  • D , $1 558
  • E , $74

Q12:

A multiplayer online game charges $16 for signing up to play and then charges $9.86 monthly. Let represent the number of months the game is played and the total cost. Write a function rule to represent the total cost, and then find how much the first 3 months of playing the game would cost.

  • A , $45.58
  • B , $28.86
  • C , $187.34
  • D , $189.34
  • E , $160.76

Q13:

Liam wants to calculate the total cost for reserving a number of nights in a particular hotel. If the cost for a night is $50 plus a registration fee of $70, write a function that describes the total cost based on the number of nights. What is the initial cost for this function?

  • A , initial cost
  • B , initial cost
  • C , initial cost
  • D , initial cost
  • E , initial cost
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