Question

Michael scored the following points on
his first four preliminary dives off the springboard.
Dive
2
Score
72.45
78.5
70.25
65.0
In order to qualify for the next round of competition, his total score for his first five dives must be at least 350 points. What is the least number of points he can score on his fifth dive in order to move on to the next round?
A. 73.8
B. 65.2
C. 63.8
D. 54.8

Answer 1

To find the least number of points Michael can score on his fifth dive to qualify for the next round, we first need to calculate the total score he has from his first four dives and then determine how many additional points he needs from his fifth dive.

Let's add up the scores from the first four dives:

- Dive 1: 72.45
- Dive 2: 78.5
- Dive 3: 70.25
- Dive 4: 65.0

Calculating the total score for the first four dives:

\[
72.45 + 78.5 + 70.25 + 65.0 = 286.2
\]

Now, we need to find out how many more points he needs to reach at least 350 points:

\[
350 - 286.2 = 63.8
\]

Thus, to qualify for the next round, Michael must score at least **63.8 points** on his fifth dive.

Checking the answer choices:
A. 73.8
B. 65.2
C. 63.8
D. 54.8

Since 63.8 is one of the options, the answer is:

**C. 63.8**