16. $p = \frac{2e}{\sqrt{f}}$
$e = 6.8$ correct to 1 decimal place - Edexcel - GCSE Maths - Question 17 - 2022 - Paper 3
Question 17
16.
$p = \frac{2e}{\sqrt{f}}$
$e = 6.8$ correct to 1 decimal place.
$f = 0.05$ correct to 1 significant figure.
Work out the upper bound for the value of $... show full transcript
Worked Solution & Example Answer:16. $p = \frac{2e}{\sqrt{f}}$
$e = 6.8$ correct to 1 decimal place - Edexcel - GCSE Maths - Question 17 - 2022 - Paper 3
Step 1
Find the upper bound for e
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Answer
The value of e is given as 6.8 correct to 1 decimal place. Therefore, the upper bound can be calculated as:
Upper bound of e = 6.8 + 0.05 = 6.85
Step 2
Find the upper bound for f
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Answer
The value of f is given as 0.05 correct to 1 significant figure. Thus, the upper bound is:
Upper bound of f = 0.05 + 0.005 = 0.055
Step 3
Substitute upper bounds into the equation for p
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Answer
Now we can substitute the upper bounds into the formula to find p:
p=0.0552×6.85
Calculating 0.055:
0.055≈0.2344
Substituting that back into the formula gives:
p=0.23442×6.85≈58.5
Step 4
Provide the answer to 3 significant figures
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Answer
The final answer for p, rounded to 3 significant figures, is: