Question

The weight of an object on Mars varies directly with its weight on Earth. An object that weighs 60 pounds (in) on Mars weights 180 pounds on Earth. If an object weighs 141 pounds on Earth, what will the object weigh on Mars Write and solve an equation to solve Label your answer.​

Answer 1

47 pounds

Explanation:

Given

Direct Variation:

Weight on Mars = 60 when Weight on Earth = 180

Required

Determine the Weight on Mars, if weight on earth is 141

Let M represents Mars and E represents Earth.'

Since, it is a direct variation;

`M \alpha\ E`

Convert to an equation

`M =kE`

Where k is the variation constant.

Substitute 60 for M and 180 for E

`60 = k * 180`

Solve for k

`k = (60)/(180)`

`k = (1)/(3)`

To solve for M when E = 141, we have:

`M =kE`

`M = (1)/(3) * 141`

`M = (141)/(3)`

`M = 47`