Question

A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6 inches?

Answer 1

To find out how many weeks it will take for the plant to grow 6 1/6 inches at a rate of 1 1/6 inches per week, divide the total growth needed by the weekly growth rate. After converting the mixed numbers to improper fractions and performing the division, it takes approximately 5.2857 weeks, which rounds up to 6 weeks.

Step-by-step explanation:

The question asks how long it will take for a certain plant to grow 6 1/6 inches if it grows at a rate of 1 1/6 inches every week. To find the time required for the plant to grow to the specified length, we divide the desired growth amount by the growth rate per week.

We have the following values:

• Desired growth amount = 6 1/6 inches
• Growth rate per week = 1 1/6 inches

To calculate the time, we convert the mixed numbers to improper fractions:

• 6 1/6 = 37/6
• 1 1/6 = 7/6

Now we divide 37/6 by 7/6 to find the number of weeks:

Time (weeks) = (37/6) ÷ (7/6) = 37/7

= 5.2857

Rounded to the nearest full week, it will take 6 weeks for the plant to grow 6 1/6 inches.