A farmer is planting a straight row of crops with 3 feet between each plant is 23 are planted what is the distance between the first and last plant

Verified Answer :

Answer
66 feet

Explanation
23 plants have been planted and the distance between one plant and the other is 3 feet. 
The number of spaces between the plants is;

23 - 1 = 22

Each space is 3 feet. 

The distance between the first and the last plant is;

3 × 22 = 66


The distance between the first and last plant is \(\fbox{\bf{\text{66 feet}}}\).


Further explanation:


Given:


A farmer is planting a straight row of crops with 3 feet between each plant.


Calculation:


Consider the number of plant as \(x\).


The number of spaces \(S\) between the plants is calculated as follows:


\(S=x-1\)                                                                                  ……(1).


Since, the number of plants are 23, Substitute 23 for \(x\) in equation (1) to obtain the number of spaces between the plants.

\(\begin{aligned}S&=23-1\\&=22\\\end{aligned}\)


Since, the distance between each plant is 3 feet, the distance \(D\) between the first and last plant is calculated as follows:


\(D=3S\)                                                                                      ……(2)


Substitute 22 for \(S\) in equation (2) to obtain distance \(D\) between the first and last plant.


\(\begin{aligned}D&=3\left({22}\right)\\&=66\,\,{\text{feet}}\\\end{aligned}\)


Thus, the distance between the first and last plant is  \(\fbox{\bf{\text{66 feet}}}\).


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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:Plant, farmer, crops, feet, A farmer is planting, space between the plant is 3 feet, linear equation, straight lines, function, number of spaces.