Use the image to answer the question.

An illustration shows a number line with arrows at both ends. There are 9 tick marks on the number line. Some of the tick marks are labeled. The first four tick marks are labeled A, 1, B, and C. The next 3 tick marks are not labeled. The eighth and ninth tick marks are labeled D and 2.

Where is 87 represented on the number line shown?

(1 point)
Responses

D
D

C
C

B
B

A

1 answer

To determine where 87 is represented on the number line, we need to analyze the labels provided. Since the tick marks suggest a linear progression, we can infer the value of each tick mark based on their order and the labeled values given.

The tick marks are as follows:

  1. A
  2. 1
  3. B
  4. C
  5. [not labeled]
  6. [not labeled]
  7. [not labeled]
  8. D
  9. 2

From the information:

  • If we assume that each tick mark represents an integer progression,
  • Given that 1 is between A and B, one possible scenario is that A could represent 0, since it’s common to start a number line with 0.

If A = 0, and since the mark labeled 2 is at the far end where D is, we can deduce that:

  • If A = 0, then D could represent a number greater than 2 based on how far they are apart (there are sequential markings between):
  • Assuming a straight linear spacing, each tick could represent increments of 1.

But without specific values assigned to each tick (except for known ones, 1 and 2), it is challenging to define where exactly 87 lands. Since none of the provided answers mention a numerical representation for the tick marks beyond the labeled ones, and without additional context, the method of placing values becomes subjective.

If it's logical reasoning based on potential values given:

  • Let's assume D represents something larger since it’s placed nearer to 2 on a linear scale.

Since:

  • A (could be 0)
  • B and C could be in any positional numeric order with respect to each other and towards D

87 is far more than the ranges suggested by the labeled outlets, unless the values are assigned significantly differently.

However, out of the listed options, one may guess that D is the highest (given it's to the right of the number line progression), and thereby the best choice out of the four to represent 87, which would extend considerably to either end of the line in a traditional layout.

So, in response to where 87 would presumably fit, the answer most consistently supported is: D.