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?

Answer 1

If the weight of a person on Venus is directly proportional to their weight on Earth, we can set up a proportion to find out how much a person weighing 180 pounds on Earth would weigh on Venus.

Let's call the weight on Earth W_E and the weight on Venus W_V.

We know that W_E = 120 pounds and W_V = 106 pounds.

Now, we want to find W_V when W_E is 180 pounds. So, we set up the proportion:

W_E / W_V = 120 / 106

Now, we can solve for W_V:

180 / W_V = 120 / 106

To isolate W_V, cross-multiply:

180 * 106 = 120 * W_V

19,080 = 120 * W_V

Now, divide both sides by 120 to find W_V:

W_V = 19,080 / 120

W_V = 159 pounds

So, a person weighing 180 pounds on Earth would weigh approximately 159 pounds on Venus if weight is directly proportional.

Answer 2

a person would weigh 158 pounds on venus

Explanation:

weight of a person on venus is directly proportional to their weight on earth

i.e. weight on venus ∝ weight on earth

weight on venus = k * weight on earth

where k is the constant of proportionality

according to the question:

106 = k * 120

k = 106/120 = .88

thus,

person weighing 180 pounds on earth weighs on venus:

weight on venus = .88 * 180

= 158 pounds