Fred started studying how the number of branches on his tree grows over time. The relationship between the labs time t in years
since Fred started studying the tree in the number of its branches B year(t), is modeled by the following function:
Byear(t)=20•(2.5)^t
Complete the following sentence about the monthly rate of change in the number of branches. Round your answer to two decimal places.
Every month the number of branches increases by a factor of ________.
Byear(t)=20•(2.5)^t
Complete the following sentence about the monthly rate of change in the number of branches. Round your answer to two decimal places.
Every month the number of branches increases by a factor of ________.
2 answers:
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<h2>Hello!</h2>
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!