Question

A sprout in Jessie's garden is currently 5 cm tall and is growing 1 3/10 cm each week. How many weeks will it take for the plant to be 13 cm tall?

Options:
A) 4 weeks
B) 5 weeks
C) 6 weeks
D) 7 weeks

Answer 1

It will take approximately 5 weeks for the plant to be 13 cm tall.

Step-by-step explanation:

To find out how many weeks it will take for the plant to be 13 cm tall, we can use the formula:

Final height = Initial height + Growth per week * Number of weeks

Let's plug in the given values:

13 cm = 5 cm + 1 ¾ cm/week * Number of weeks

Now we need to solve for Number of weeks:

13 cm - 5 cm = 1 ¾ cm/week * Number of weeks

8 cm = 1 ¾ cm/week * Number of weeks

We can convert 1 ¾ cm to an improper fraction: 1 ¾ = 3/2

8 cm = (3/2) cm/week * Number of weeks

To solve for Number of weeks, we can set up a proportion:

8 cm / (3/2) cm/week = Number of weeks

When we divide 8 cm by (3/2) cm/week, we get:

Number of weeks = 16/3 weeks = 5 ⅛ weeks.

Therefore, it will take approximately 5 weeks for the plant to be 13 cm tall.