A scientist measures the growth of a new type of ivy that has been bred to grow in all types of weather. At the end of each week, the scientist measures the length of the vine.

Question

A 3-column table with 5 rows. Column 1 is labeled Weeks with entries 1, 2, 3, 4, 5. Column 2 is labeled Total length (inches) with entries 4, 8, 12, blank, blank. Column 3 is labeled Total length (feet) with entries blank, blank, 1, blank, blank.

If the vine continues to grow at this rate, it will be
inches long at the end of 5 weeks.

Answer 1

To find the future length of the ivy vine at the end of 5 weeks, we first need to identify the growth pattern from the data provided.

From the table, we see the following measurements of total length in inches:

• 1 week: 4 inches
• 2 weeks: 8 inches
• 3 weeks: 12 inches
• 4 weeks: ?
• 5 weeks: ?

By examining the lengths, we can determine the growth pattern:

• From week 1 to week 2, the growth is 8 - 4 = 4 inches.
• From week 2 to week 3, the growth is 12 - 8 = 4 inches.

The vine appears to grow consistently at a rate of 4 inches per week.

Continuing this pattern:

• For week 4: \(12 \text{ inches} + 4 \text{ inches} = 16 \text{ inches}\)

• For week 5: \(16 \text{ inches} + 4 \text{ inches} = 20 \text{ inches}\)

Thus, at the end of 5 weeks, the vine will be 20 inches long.