Consider the formula $s = wt + \frac{p}{2}$ - HSC - SSCE Mathematics Standard - Question 10 - 2024 - Paper 1
Question 10
Consider the formula $s = wt + \frac{p}{2}$.
Which of the following shows p as the subject of the formula?
A. $p = 2wt - s$
B. $p = 2wt - 2s$
C. $p = 2s - w... show full transcript
Worked Solution & Example Answer:Consider the formula $s = wt + \frac{p}{2}$ - HSC - SSCE Mathematics Standard - Question 10 - 2024 - Paper 1
Step 1
Rearranging the formula
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Answer
To isolate p, we start with the original equation:
s=wt+2p
Subtract wt from both sides:
s−wt=2p
Step 2
Multiplying by 2
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Answer
Next, we multiply both sides by 2 to eliminate the fraction:
2(s−wt)=p
This simplifies to:
p=2s−2wt
Step 3
Identifying the correct answer
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Answer
From the choices provided, we can identify that the correct answer is:
