Number 6
3 marks · EasyThe table shows the total pay (in £) for hours worked at a constant rate. Pay is directly proportional to hours worked.
| Hours | Total pay (£) |
|---|---|
| 2 | 24 |
| 5 | ? |
| 8 | 96 |
Complete the missing value in the table.
Write down the formula connecting pay, , and hours worked, . Use the value of the constant you find.
How many hours were worked to earn £60?
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) 60
(b) P = 12h
(c) 5
Common mistakes: Incorrectly calculating proportionality constant; Mixing up variables
Show mark scheme and worked solution
Marking points
A1 (a) · 1 mark · Completes table with 60
A2 (b) · 1 mark · Gives correct formula or equivalent with the constant identified
A3 (c) · 1 mark · Gives correct answer 5
Worked solution
a) From 2 hours corresponds to £24: .
For 5 hours: .
So the missing value is 60.
b) The pay per hour is £12. So, .
c) To earn £60: hours.