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The grass in Jamie's yard grew

centimeters in

days. It was growing at a constant rate.
How many days did it take the grass to grow

centimeter?
days
How many centimeters did the grass grow in

day?
centimeters

Sagot :

Let's solve the problem using placeholders and then insert the values.

Given:

- The grass grew \( g \) centimeters in \( d \) days.

We need to find:

1. How many days it take to grow 1 centimetre?

2. How many centimeters does the grass grow in 1 day?

Solution:

1. How many days did it take the grass to grow 1 centimetre?

To find the number of days to grow 1 centimetre:

\[ \text{Days per centimeter} = \frac{d}{g} \]

2. **How many centimetres did the grass grow in 1 day?**

To find the number of centimetres grown in 1 day:

\[ \text{Centimeters per day} = \frac{g}{d} \]

Now, let's insert the values:

Example

Let's assume the grass grew 10 centimetres in 5 days.

1. How many days did it take the grass to grow 1 centimetre?

\[ \text{Days per centimeter} = \frac{5 \text{ days}}{10 \text{ centimeters}} = 0.5 \text{ days per centimeter} \]

2. How many centimetres did the grass grow in 1 day?

\[ \text{Centimeters per day} = \frac{10 \text{ centimeters}}{5 \text{ days}} = 2 \text{ centimeters per day} \]

Thus:

1. It took 0.5 days for the grass to grow 1 centimetre.

2. The grass grew 2 centimetres in 1 day.