TV repairs

TV repairs

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about working out what parts of a formula mean.
television

Question

Quickfix Electrical used this formula to work out the cost of repairs for Mr Semesi's TV.
 
c = 25 + 30t
 
What does the t in the equation represent?

    • The total amount that Mr Semesi had to pay for the repairs.

    • The amount Quickfix Electrical charge for travelling to Mr Semesi's house.

    • The number of hours it took to fix Mr Semesi's TV set.

    •  The amount Quickfix Electrical charge for each hour spent repairing the TV.

Question

b)  Ajax Appliances used this formula for working out the costs of repairing Ms Parata's TV set.
 
c = 20 + 32h    
 
c = the total cost of the repairs.
h = the number of hours that the repairs took. 
 
     i)  What does the 20 in the equation represent?

    • The total amount that Ms Parata had to pay for the repairs.

    • The number of repairs that Ajax Appliances made.

    • The amount Ajax Appliances charge for travelling to Ms Parata's house.

    • The amount Ajax Appliances charge for each hour repairing the TV.

Question

     ii)  What does the 32 in the equation represent?

    • The average time taken by Ajax Appliances to fix a TV set.

    •  The average number of repairs that Ajax Appliances make per hour.

    • The number of hours it took to fix Ms Parata's TV set.

    • The amount Ajax Appliances charge for each hour spent repairing the TV.

Task administration: 
This task is completed with pencil and paper or online with SOME auto marking.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
linear equations, intercepts, gradients
Description of task: 
Students identify the different parts of algebraic expressions for the cost of repairing televisions.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
   

Y10 (11/1999)

a)

  

The number of hours it took to fix Mr Semesi's TV set (Option 3)

moderate

b)

i)
ii)

The amount Ajax Appliances charge for travelling to Ms Parata's house (Option 3)
The amount Ajax Appliances charge for each hour spent repairing the TV (Option 4)

moderate
difficult