From what we know about rounding, we will see that the possible total amount of money is given by the inequality:
£14.75 ≤ M ≤ £16.23
How does rounding works?
When we round a given number to a given place, what we need to do is look at the number at the right of that place.
- If the number is 5 or larger, we round up.
- If the number is 4 or smaller, we round down.
So we know that Jon, to the nearest pound has £9.
- This means that he can have a minimum of £8.50
- And a maximum of £9.49
We know that to the nearest £0.50, so we look at the half of 0.5, which is 0.25, for example:
1.23 would be rounded to 1.
1.25 would be rounded to 1.50
1.27 would be rounded to 1.50
Ellie has £6.50, then she has:
- A minimum of £6.25
- A maximum of £6.74
So, adding the minimums and maximums together we get:
minimum = £8.50 + £6.25 = £14.75
maximum = £9.49 + £6.54 = £16.23
So the possible total amount of money, defined by M, is in the interval:
£14.75 ≤ M ≤ £16.23
If you want to learn more about rounding, you can read:
https://brainly.com/question/19288016
