Answer:
47 pounds
Step-by-step 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;
[tex]M \alpha\ E[/tex]
Convert to an equation
[tex]M =kE[/tex]
Where k is the variation constant.
Substitute 60 for M and 180 for E
[tex]60 = k * 180[/tex]
Solve for k
[tex]k = \frac{60}{180}[/tex]
[tex]k = \frac{1}{3}[/tex]
To solve for M when E = 141, we have:
[tex]M =kE[/tex]
[tex]M = \frac{1}{3} * 141[/tex]
[tex]M = \frac{141}{3}[/tex]
[tex]M = 47[/tex]
