Question

The weight of an object on mars varies directly is proportional as the weight of the object on earth a 75 pound object on earth weighs 25 pounds if an object weighs 120 pounds on earth how much does it weigh on mars

Answer 1

Answer:

It weighs 40 pounds on mars

Step-by-step explanation:

Direct proportion is the relationship between two variables when their ratio is equal to a constant value

• It can be expressed as y = k x, where y varies directly as x and k is constant of variation
• It can be expressed as  $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$

∵ The weight of an object on mars varies directly as the weight

    of the object on earth

∴ w(m) = k × w(e)

∵ The weight of the object on earth is 75 pound

∴ w(e) = 75

∵ The weight of this object on mars is 25 pounds

∴ w(m) = 25

- Substitute them in the equation of variation

∵ 25 = k × 75

- Divide both sides by 75

∴ $\frac{1}{3}$ = k

∴ w(m) = $\frac{1}{3}$ × w(e)

∵ An object weighs 120 pounds on earth

∴ w(e) = 120

- Substitute it in the equation of variation

∴ w(m) = $\frac{1}{3}$ × 120

∴ w(m) = 40

∴ It weighs 40 pounds on mars