Answer:
Height of plant: [tex]4\frac{3}{4}[/tex] inches.
Step-by-step explanation:
Please consider the attached file for complete question.
We have been given that a small plant is 2 1/2 inches tall. It grows 3/4 inch each week. We are asked to find the height of the tree in 3 weeks.
The total height of tree after 3 weeks would be equal to tree's growth in 3 weeks plus initial height.
[tex]\text{Total height of tree after 3 weeks}=\frac{3}{4}\times 3+2\frac{1}{2}[/tex]
We can rewrite our expression as:
[tex]\text{Total height of tree after 3 weeks}=3\times \frac{3}{4}+2\frac{1}{2}[/tex]
We know that multiplying 3 by 3/4 is same as adding 3/4 3 times.
[tex]\text{Total height of tree after 3 weeks}= \frac{3}{4}+ \frac{3}{4}+\frac{3}{4}+2\frac{1}{2}[/tex]
Therefore, 1st method is incorrect.
Let us find height of the plant
[tex]\text{Total height of tree after 3 weeks}=\frac{9}{4}+2\frac{1}{2}[/tex]
[tex]\text{Total height of tree after 3 weeks}=\frac{9}{4}+\frac{5}{2}[/tex]
Make a common denominator:
[tex]\text{Total height of tree after 3 weeks}=\frac{9}{4}+\frac{10}{4}[/tex]
[tex]\text{Total height of tree after 3 weeks}=\frac{9+10}{4}[/tex]
[tex]\text{Total height of tree after 3 weeks}=\frac{19}{4}[/tex]
[tex]\text{Total height of tree after 3 weeks}=4\frac{3}{4}[/tex]
Therefore, the height of the plant after 3 weeks would be [tex]4\frac{3}{4}[/tex] inches.
