Danielle has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Danielle started out with 15 rabbits and the function y = 15 • 1.8x models the number of rabbits she will have after x months. Which graph represents this function? solve it and tell me why

Question

Danielle has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Danielle started out with 15 rabbits and the function y = 15 • 1.8x models the number of rabbits she will have after x months. Which graph represents this function? solve it and tell me why
(1 point)
Responses

A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A curve passes through, or very close to, the points (0, 60), (2, 200), and (3, 350) 
Image with alt text: A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A curve passes through, or very close to, the points (0, 60), (2, 200), and (3, 350)

A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A curve passes through, or very close to, the points (0, 15), (2, 49), and (6, 510) 
Image with alt text: A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A curve passes through, or very close to, the points (0, 15), (2, 49), and (6, 510)

A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A line passes through, or very close to, the points (0, 15), (2, 49), and (6, 125) 
Image with alt text: A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A line passes through, or very close to, the points (0, 15), (2, 49), and (6, 125)

A coordinate plane has the x axis representing time in months and the y axis representing number of rabbits. A curve passes through, or very close to, the points (0, 15), (1, 100), and (4, 250)

GPT 3.5 · Answer

The graph that represents the function y = 15 • 1.8x is the second option. This is because the function will experience rapid growth over time, which is reflected in the points (0, 15), (2, 49), and (6, 510) that are closest to the second option. The exponential growth of the rabbit population is better represented by a curve passing through these points rather than a straight line.