Question

the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds on mars.if an object weighs 135 pounds on earth how much does it weigh on mars

Answer 1

It will weigh 79 pounds on mars 

Answer 2

We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.  

Let y be weight of an object on Mars and x be weight of an object on Earth.

$\\ y=kx$

We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.

Putting the given values in equation we get

$\\ 34=k(90)\\ \\ k=\frac{34}{90}=\frac{17}{45}$

Therefore, our equation now becomes

$\\ y= \frac{17}{45}x$

Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,

We have been given that $\\ x=135$

Putting the given values in our equation we get

$\\ y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51$

Therefore weight of the object on Mars will be 51 pounds.