Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".

What does the value 3 mean in this function?

A. On the first day, 3 leaves fall.

OB. On the second day, 3 leaves fall.

C. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the first day.

D. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the previous day.

What does the value 2 mean in this function?

A. On the first day, 2 leaves fall.

B. On the second day, 2 leaves fall

C. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the first day.

D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Sagot :

MrRoyal

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

[tex]f(n) = 3(2)^n[/tex]

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]

[tex]f(0) = 3(2)^0[/tex]

[tex]f(0) = 3*1[/tex]

[tex]f(0) = 3[/tex]

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

[tex]f(0) = 3[/tex]

Take n = 1

Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]

[tex]f(1) = 3(2)^1[/tex]

[tex]f(1) = 3*2[/tex]

[tex]f(1) = 6[/tex]

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.