A dendrologist (a botanist who studies trees exclusively) is examining the way in which a certain tree sheds its leaves. He tracks the number of leaves shed each day over the period of a month, starting when the first leaf is shed. He organizes the data in a scatterplot and sees that the data can be modeled using an exponential function. He determines the exponential model to be f(= 6(1.92)x, where x is the number of days after the tree began to shed its leaves. What does the value 1.92 in the function tell the dendrologist?
A. The number of leaves shed almost doubles each day.
B. The number of leaves shed almost doubles every six days.
C. The number of leaves left on the tree is reduced by about 92% each day.
D. The number of leaves left on the tree is reduced by about 92% every six days.
Answer:A
A dendrologist (a botanist who studies trees exclusively) is examining the way in which a certain tree sheds its leaves. He tracks the number of leaves shed each day over the period of a month, starting when the first leaf is shed. He organizes the data in a scatterplot and sees that the data can be modeled using an exponential function. He determines the exponential model to be f(= 6(1.92)x, where x is the number of days after the tree began to shed its leaves. What does the value 1.92 in the function tell the dendrologist?
A. The number of leaves shed almost doubles each day. B. The number of leaves shed almost doubles every six days. C. The number of leaves left on the tree is reduced by about 92% each day. D. The number of leaves left on the tree is reduced by about 92% every six days.
Explanation: A