Problem

\[
w \propto d
\]
When $d=35$, the value of $w$ is 133
Work out the value of $w$ when $d=25$
Give any decimal answers to 1 d.p.

Answer

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Answer

\(\boxed{95.0}\) is the value of \(w\) when \(d = 25\).

Steps

Step 1 :Given that \(w \propto d\), which means \(w = k \times d\), where \(k\) is a constant of proportionality.

Step 2 :Using the given values, when \(d=35\), the value of \(w\) is 133. So, \(133 = k \times 35\).

Step 3 :Solve for \(k\): \(k = \frac{133}{35} = 3.8\).

Step 4 :Now, we need to find the value of \(w\) when \(d = 25\). Using the formula \(w = k \times d\), we have \(w = 3.8 \times 25\).

Step 5 :Calculate the value of \(w\): \(w = 95.0\).

Step 6 :\(\boxed{95.0}\) is the value of \(w\) when \(d = 25\).

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