m=30-3r
In the above equation, m represents the amount, in dollars, of money after renting r video games. Since the money depends on the number of video games rented, the independent variable is r, and the dependent variable is m.
b The domain is determined by the way we measure the independent variable, the number of rented video games r. Let's see what happens if we rent 10 video games. To do so, we will substitute 10 for r in the given function.
If we rent 10 video games, we have no money left. Therefore, we cannot rent more than 10 video games. Moreover, we cannot rent part of a video game. This means the domain is discrete.
Domain:{0,1,2,3,4,5,6,7,8,9,10}
The range is an interval of output values based on when the domain values are used as input. Let's calculate the output when the input is 0.
We found that 30 belongs to the range of the function. Considering that the domain contains integers between 0 and 10, inclusive, we can find the rest of the elements of the range in a similar way.
Range:{0, 3,6,9,12,15,18,21,24,27,30}
