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RideAnS [48]
3 years ago
8

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the

plant f(n), in cm, after n days:
f(n) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

PART A)

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

Step-by-step explanation:

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The consecutive even integers are 8, 10 and 12.

<h3>How to calculate the value?</h3>

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

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