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Worksheet: Completing Function Tables and Finding Function Rules

Q1:

Fill in the input-output table for the function .

Input0245
Output
  • A3, 13, 23, 27
  • B0, 12, 23, 28
  • C3, 13, 23, 28
  • D0, 13, 23, 28
  • E3, 12, 23, 28

Q2:

Find the rule for the given function table.

Input 1410
Output 91218
  • A
  • B
  • C
  • D
  • E

Q3:

Find the rule for the given function table.

Input 025
Output 641
  • A
  • B
  • C
  • D
  • E

Q4:

Find the rule for the given function table.

Input 367
Output 121516
  • 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)60120180240
Time (h)36912

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

Q9:

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

Input 1213141516
Output 768288
  • A, 94, 117
  • B, 110, 100
  • C, 94, 100
  • D, 94, 20
  • E, 19, 100

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

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

Q12:

A bookstore sells used paperback books for $11.00 each and used hardcover books for $15.00 each. Find a function rule that shows the total selling price of both types of books, and then determine the price of 8 paperback and 3 hardcover books. Let represent the number of paperback books, the number of hardcover books, and the total selling price of both types of books.

  • A, $133.00
  • B, $87.00
  • C, $133.00
  • D, $153.00
  • E, $43.00

Q13:

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

Q14:

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

Q15:

A video-on-demand service charges $9.46 per month for subscription and an extra $3.03 to buy a newly released movie. Write a function rule to represent the total price for movies and the subscription fees for months, and then use the function rule to determine the total price of buying 41 movies in one year.

  • A, $390.89
  • B, $133.69
  • C, $237.75
  • D, $424.22
  • E, $237.75

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