Answer:
weight of the astronaut on mars = 87.4 pounds
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