Ken has decided to raise rabbits but has been warned that the number of rabbits he will have will double every month. Ken started out with 30 rabbits, and the function y=30(2^x) models the number of rabbits he will have after x months. Which graph represents this function?

Answer 1

To graph the function y = 30(2^x) you can follow these steps:

1. Plug in some x values to find the corresponding y values. For example, when x = 0, y = 30(2^0) = 30(1) = 30. So, the first point would be (0, 30).

Similarly, when x = 1, y = 30(2^1) = 30(2) = 60. So, another point would be (1, 60).

2. Continue this process for more x values to get more points.

Once you have multiple points, you can plot them on a graph. Since the function is an exponential function with a base of 2, the graph will be curved and increasing rapidly. The y-intercept will be at (0, 30) and the graph will pass through (1, 60), (2, 120), (3, 240), etc.

The correct graph should be a curved line that is increasing rapidly from left to right.