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 • 2x models the number of rabbits he will have after x months. Which graph represents this function?
A. graphThe x axis is titled time in months and marked 0 to 8. The y axis is titled number of rabbits and marked 0 to 1000. The line slopes upwards, passing above left parenthesis 2 comma 100 right parenthesis, passing through the points left parenthesis 4 comma 500 right parenthesis and passing above left parenthesis 5 comma 800 right parenthesis.
B. graphThe x axis is titled times (months) labeled 0 to 8. The y axis is titled number of rabbits The line starts at left parenthesis 0 comma 300 right parenthesis and slopes upwards at a curve. It passes above left parenthesis 1 comma 700 right parenthesis and through the points left parenthesis 2 comma 900 right parenthesis and left parenthesis 5 comma 1000 right parenthesis.
C. graphThe x axis is titled time in months and labeled 0 to 8. The y axis is titled number of rabbits and labeled 0 to 1000. The line passes through the points left parenthesis 1 comma 100 right parenthesis, left parenthesis 2 comma 300 right parenthesis and left parenthesis 3 comma 800 right parenthesis.
D. graphThe x axis is titled time in months and marked 0 to 8. The y axis is titled number of rabbits and marked 0 to 1000. The line starts at the points left parenthesis 0 comma 0 right parenthesis, passed over points left parenthesis 2 comma 100 right parenthesis, left parenthesis 5 comma 300 right parenthesis and passes over left parenthesis 7 comma 400 right parenthesis.
B. graphThe x axis is titled times (months) labeled 0 to 8. The y axis is titled number of rabbits The line starts at left parenthesis 0 comma 300 right parenthesis and slopes upwards at a curve. It passes above left parenthesis 1 comma 700 right parenthesis and through the points left parenthesis 2 comma 900 right parenthesis and left parenthesis 5 comma 1000 right parenthesis.
The correct answer is B.
This graph represents the function y = 30 • 2x accurately. It starts at (0, 30) and increases exponentially, doubling the number of rabbits every month. It passes through the points (1, 60), (2, 120), (3, 240), and so on, accurately reflecting the growth pattern described in the function.