Based on the scatterplot below, what is the most likely value for “Pounds of Apples” when “Number of Apples” is 80?

A graph titled Number of Apples versus Pounds of Apples has number of apples on the x-axis, and pounds of apples on the y-axis. Points are at (9, 5), (15, 11), (25, 12), (38, 17), (45, 25).
42
81
158
398

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To estimate the value of "Pounds of Apples" when "Number of Apples" is 80 based on the provided data points, we can use interpolation. Since the scatter plot represents a set of data points, let's review the data we have:

  • (9, 5)
  • (15, 11)
  • (25, 12)
  • (38, 17)
  • (45, 25)

Since 80 is greater than all the x-values provided in the data points, we can use the trend established in the existing data to extrapolate the value.

There is an apparent increase in pounds of apples as the number of apples increases, but the growth seems non-linear. By examining the existing values, we can see that as the number of apples increases (from 9 to 45), the pounds of apples increases less consistently:

  • From 9 to 15 (6-apples), it increases by 6 pounds (from 5 to 11).
  • From 15 to 25 (10-apples), it increases by 1 pound (from 11 to 12).
  • From 25 to 38 (13-apples), it increases by 5 pounds (from 12 to 17).
  • From 38 to 45 (7-apples), it increases by 8 pounds (from 17 to 25).

These changes suggest that the increase in weight slows down relative to the increase in the number of apples as we progress. Still, we note the last increase seems pronounced.

To find a more approximate value for 80 apples, let’s observe the last few increments of pounds:

  • The last point (at 45 apples) gives us 25 pounds.

Continuing to extrapolate, for larger numbers like 80, we observe that the trend may significantly rise. The options given are 42, 81, 158, 398. Examining these values in relation to our trend:

  • It’s reasonable to assume that 158 might represent a proportional increase given the prior trends where increments could indicate a sharp rise, especially considering how fewer apples have yielded relatively low amounts thus far.

Therefore, based on the trends of the points given and the provided options, the most likely value for “Pounds of Apples” when “Number of Apples” is 80 is approximately 158.