Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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 appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.