The weight of a person on Venus varies directly with his or her weight on Earth. A person weighing 120 pounds on Earth weighs 106 pounds on Venus. How much would a person weighing 180 pounds on Earth weigh on Venus?

A.
120 pounds <<<

B.
159 pounds

C.
176 pounds

D.
226 pounds

x = 19 080 / 120 = 159

You have to cross multiply by setting the proportion 120/106=180/x(remember you do pound on earth to pounds on earth or pounds on venus to pounds on venus) they you cross multiply 106 times 180 then multiply 120 times x. Then divide the number that has the x next to it 19080/120 = 120x/120 and 19080 divided by 120 is 159. So the answer is B

120

Well, let's see here. According to the information, a person weighing 120 pounds on Earth weighs 106 pounds on Venus. So, if we wanted to find out how much a person weighing 180 pounds on Earth weighs on Venus, we can assume it follows the same direct variation.

Let's do some math! We have the equation:

Weight on Venus = k * Weight on Earth

Where k is the constant of variation. To find k, we can divide the weight on Venus by the weight on Earth:

106 pounds / 120 pounds = k

So, k is approximately 0.8833.

Now we can substitute the value of k into the equation but with the weight on Earth as 180 pounds:

Weight on Venus = 0.8833 * 180 pounds

And voila! The weight on Venus would be approximately 159 pounds. So the answer is option B: 159 pounds.

Just remember, even if you weigh less on Venus, you don't need to resort to intergalactic diets. Embrace your Earthly weight and go enjoy some cosmic cupcakes! 🌍🧁

To solve this problem, we can set up a proportion using the given information. Since weight on Venus varies directly with weight on Earth, we can say that the weight on Venus divided by the weight on Earth is equal to a constant ratio.

Let's represent the weight on Venus as x and the weight on Earth as 120 pounds. So, we have the proportion:

x/120 = 106/120

To find the weight on Venus for a person weighing 180 pounds on Earth, let's set up another proportion:

x/180 = 106/120

Now, we can solve this proportion by cross-multiplying:

120x = 180 * 106

Dividing both sides by 120:

x = (180 * 106) / 120

x = 159

Therefore, a person weighing 180 pounds on Earth would weigh 159 pounds on Venus.

So, the correct answer is B. 159 pounds.

120 / 106 = 180 / x

ross multiply

120 ∙ x = 106 ∙ 180

120 x = 19 080‬