The table below shows the predicted number of words Janae can type, y, in x minutes.

Time (x, in minutes)
Words Typed (y)
5
150
10
300
15
450
20
600

Which describes the pattern in the table?
Janae types 25 words each minute.
Janae types 30 words each minute.
Janae types 145 words each minute.
Janae types 150 words each minute.

1 answer

To determine the pattern in the table, we can calculate the number of words Janae types per minute by looking at the total words typed (y) and the corresponding time (x) in minutes.

From the table:

  • In 5 minutes, Janae types 150 words.
  • In 10 minutes, Janae types 300 words.
  • In 15 minutes, Janae types 450 words.
  • In 20 minutes, Janae types 600 words.

Now, let's calculate the rate of typing (words per minute) for each time interval:

  1. For 5 minutes: \[ \text{Words per minute} = \frac{150 \text{ words}}{5 \text{ minutes}} = 30 \text{ words per minute} \]

  2. For 10 minutes: \[ \text{Words per minute} = \frac{300 \text{ words}}{10 \text{ minutes}} = 30 \text{ words per minute} \]

  3. For 15 minutes: \[ \text{Words per minute} = \frac{450 \text{ words}}{15 \text{ minutes}} = 30 \text{ words per minute} \]

  4. For 20 minutes: \[ \text{Words per minute} = \frac{600 \text{ words}}{20 \text{ minutes}} = 30 \text{ words per minute} \]

In every case, Janae types 30 words each minute. Therefore, the correct answer is:

Janae types 30 words each minute.