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weqwewe [10]
3 years ago
10

Bean plants grow rapidly. A bean plant is 16 inches tall. Tomorrow it will be 24 inches tall, the next day it will be 32 inches

tall, and on the next day it will be 40 inches tall. Write a rule to represent the height of the bean plant as an arithmetic sequence. How tall will the plant be in 12 days?
Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
Every day, it increases by 8 inches. We know that it started at 16 inches.

We can construct an equation with this information.

Equation: 16+8x=h
h=Height
x=Days

Plug in 12 for x:
16+96=h
h=112 inches

Answer: The plant will be 112 inches tall in 12 days.
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Answer:

A

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When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

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Log rules allow use to rearrange the exponent as multiplication in front of the log.

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ln e as an inverse simplifies to 1.

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We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

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Answer:

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Step-by-step explanation:

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