Question

A small plant is 2 1 2 212 inches tall. How tall will it be in 3 3 weeks if it grows 3 4 34 inch each week? Which method will NOT give the correct number of inches?

Answer 1

Answer:

Height of plant: $4\frac{3}{4}$ 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.

$\text{Total height of tree after 3 weeks}=\frac{3}{4}\times 3+2\frac{1}{2}$

We can rewrite our expression as:

$\text{Total height of tree after 3 weeks}=3\times \frac{3}{4}+2\frac{1}{2}$

We know that multiplying 3 by 3/4 is same as adding 3/4 3 times.

$\text{Total height of tree after 3 weeks}= \frac{3}{4}+ \frac{3}{4}+\frac{3}{4}+2\frac{1}{2}$

Therefore, 1st method is incorrect.

Let us find height of the plant

$\text{Total height of tree after 3 weeks}=\frac{9}{4}+2\frac{1}{2}$

$\text{Total height of tree after 3 weeks}=\frac{9}{4}+\frac{5}{2}$

Make a common denominator:

$\text{Total height of tree after 3 weeks}=\frac{9}{4}+\frac{10}{4}$

$\text{Total height of tree after 3 weeks}=\frac{9+10}{4}$

$\text{Total height of tree after 3 weeks}=\frac{19}{4}$

$\text{Total height of tree after 3 weeks}=4\frac{3}{4}$

Therefore, the height of the plant after 3 weeks would be $4\frac{3}{4}$ inches.