When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.

It takes more time on moon for the rock to fall.

Step-by-step explanation:

Given that:

Time it takes for rock to fall d meters on earth = √0.45d

Time it takes for rock to fall d meters on moon = √1.11d

For a rock to fall 50 meters:

On earth :

Time = √0.45*50 = 4.7434164 seconds

On moon :

Time = √1.11*50 = 7.4498322 seconds

Time on moon > Time on earth

Hence, It takes more time on moon for the rock to fall.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.