Weight on Mars varies directly with weight on Earth. If an astronaut that weighs 200 pounds on Earth weighs 76 pounds on Mars, find the weight of an astronaut on Mars who weighs 230 pounds on Earth.

weight of the astronaut on mars = 87.4 pounds

Step-by-step explanation:

The statement a varies directly as b simply means when x increases, y also increase by same factor. This simply means a and b have the same ratio. The weight on mars varies directly with weight on earth can be interpreted below.

Let

weight on mars = a

weight on earth = b

a varies directly as b can be represented below as follows.

a = kb

where

k = constant of proportionality

a = 76 pounds

b = 200 pounds

k = a/b

k = 76/200

Let us find the weight of an astronaut on mars who weighs 230 pounds on earth.

b = 230 pounds

a = 76/200 * 230

a = 17480 / 200

a = 87.4 pounds

weight of the astronaut on mars = 87.4 pounds