Question

What is the value of point P? Enter the answer in the box.

A number line has 6 tick marks. The first mark is 4.8. The fourth mark is 5.4. The fifth mark is 5.6. Point P is on the third mark.

(1 point)

Answer 1

To find the value of point P, we can first determine the spacing between the tick marks.

Given:
- The 1st mark is 4.8.
- The 4th mark is 5.4.
- The 5th mark is 5.6.

Now, let's calculate the spacing between the tick marks. From the 1st mark (4.8) to the 4th mark (5.4), there are 3 intervals. The change in value from the 1st to the 4th mark is:

\[
5.4 - 4.8 = 0.6
\]

Since this change occurs over 3 intervals, the value of each interval (spacing between the marks) can be calculated as:

\[
\text{Spacing} = \frac{0.6}{3} = 0.2
\]

Now we can determine the values of the tick marks.

- 1st mark: \( 4.8 \)
- 2nd mark: \( 4.8 + 0.2 = 5.0 \)
- 3rd mark: \( 5.0 + 0.2 = 5.2 \)
- 4th mark: \( 5.4 \) (which we've already established)
- 5th mark: \( 5.6 \) (which we've also already established)
- 6th mark: \( 5.6 + 0.2 = 5.8 \)

Now, point P is on the 3rd mark, and the value of the 3rd mark is:

\[
\text{Value of point P} = 5.2
\]

Therefore, the value of point P is:

5.2