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Bamboo is one of the fastest-growing plants. A typical growth rate for bamboo in temperate climates is 3-10 centimeters per day during the growth season.
Which of the following equations, where t represents time in days, and L represents length in centimeters, could be descriptions of the growth of a bamboo plant?
Choose all answers that apply:
(A) L=1.1 t
(B) L=2.5 t
(C) L=7.1 t
(D) L=9.3 t

Bamboo is one of the fastest-growing plants. A typical growth rate for bamboo in temperate climates is $3-10$ centimeters per day during the growth season. $\newline$ Which of the following equations, where $t$ represents time in days, and $L$ represents length in centimeters, could be descriptions of the growth of a bamboo plant? $\newline$ Choose all answers that apply: $\newline$ (A) $L=1.1 t$ $\newline$ (B) $L=2.5 t$ $\newline$ (C) $L=7.1 t$ $\newline$ (D) $L=9.3 t$

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Evaluate two-variable equations: word problems

Full solution

Q. Bamboo is one of the fastest-growing plants. A typical growth rate for bamboo in temperate climates is

3-10

centimeters per day during the growth season.

\newline

Which of the following equations, where

t

represents time in days, and

L

represents length in centimeters, could be descriptions of the growth of a bamboo plant?

\newline

Choose all answers that apply:

\newline

(A)

L=1.1 t

\newline

(B)

L=2.5 t

\newline

(C)

L=7.1 t

\newline

(D)

L=9.3 t

Understand the problem: Understand the problem. $\newline$ We are given a range for the growth rate of bamboo, which is $3-10$ centimeters per day. We need to determine which of the given equations could represent this growth rate, where $t$ is time in days and $L$ is length in centimeters.
Analyze the equations: Analyze the given equations. $\newline$ We have four equations to consider: $\newline$ A) $L = 1.1t$ $\newline$ B) $L = 2.5t$ $\newline$ C) $L = 7.1t$ $\newline$ D) $L = 9.3t$ $\newline$ We need to compare the coefficients of $t$ in each equation to the given growth rate range of $3-10$ centimeters per day.
Compare coefficients: Compare the coefficients to the growth rate range. $\newline$ The coefficient of $t$ in each equation represents the growth rate in centimeters per day. $\newline$ A) $1.1$ cm/day - This is less than the minimum growth rate of $3$ cm/day. $\newline$ B) $2.5$ cm/day - This is also less than the minimum growth rate of $3$ cm/day. $\newline$ C) $7.1$ cm/day - This is within the given range of $3-10$ cm/day. $\newline$ D) $9.3$ cm/day - This is also within the given range of $3-10$ cm/day.
Determine valid equations: Determine which equations are valid descriptions of the bamboo's growth. $\newline$ Based on the comparison in Step $3$ , the equations that could describe the growth of the bamboo plant are: $\newline$ C) $L = 7.1t$ $\newline$ D) $L = 9.3t$

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