Question

Two handspan of Jane is equal to her father’s handspan. Look at the picture. It shows the measurement using Jane’s handspan.
(i) What was the length of the plant in week $1$ if her father measured it?
(ii) What will be the length of the plant measured by her father after $2$ more weeks?

• A. $4,8$ handspans
• B. $2,4$ handspans
• C. $1,2$ handspans
• D. $3,6$ handspans

Answer 1

The correct option is B $2,4$ handspans

Say:
One handspan of Jane’s father is equal to her two handspans.

Steps:
In the picture, we can see that on week $1,$ the plant measures $4$ of Jane’s handspans.
If $4$ of Jane’s handspan $=2$ of her father’s handspan, then on week $1$, the plant’s length will be $2$ of her father’s handspans.
After $2$ more weeks, i.e., on week $3,$ the length of the plant in Jane’s handspan will be $8$ handspan, as we calculated in the previous question.
[In week $1,$ it measured $4$ handspan.
In week $2,$ it will grow by two handspan. So it will be $=4+2=6$ handspan.
In week $3,$ it will grow by two handspan. So it will be $=6+2=8$ handspan.]

Thus, in terms of her father’s handspan, the length will be $=4$ handspan.
Thus, the correct answer is Option A.