Question

the weight of a person on venus is directly proportional to their weight on earth. a person weighing 120 pounds on earth weighs 106 pounds on venus. approximately how much would a person weighing 180 pounds on earth weigh on venus? enter your answer in the box. pounds

Explanation:

Step1: Find the proportionality constant

Since weight on Venus ($W_V$) is directly proportional to weight on Earth ($W_E$), we have the equation $W_V = k\times W_E$. Given that when $W_E = 120$ pounds, $W_V=106$ pounds. We can find $k$ as $k=\frac{W_V}{W_E}=\frac{106}{120}=\frac{53}{60}$.

Step2: Calculate the weight on Venus for a 180 - pound person on Earth

We use the formula $W_V = k\times W_E$ with $W_E = 180$ pounds and $k=\frac{53}{60}$. So $W_V=\frac{53}{60}\times180$.
$W_V = 53\times3=159$ pounds.

Answer:

159 pounds