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