Question

12. A baseball player was at bat 544 times in one season, and had a batting average of 0.294. The batting average formula is , where a is the batting average, h is the number of hits, and n is the number of times at bat. Use the formula to find the number of hits the baseball player made.148 hits160 hits165 hits159 hits

Answer 1

To determine the number of hits (h) the baseball player made, we can use the formula for the batting average, which is:

\[
a = \frac{h}{n}
\]

Where:
- \( a \) is the batting average,
- \( h \) is the number of hits, and
- \( n \) is the number of times at bat.

In this case, we know that \( a = 0.294 \) and \( n = 544 \). We can rearrange the formula to solve for \( h \):

\[
h = a \times n
\]

Now, we can substitute the values into the formula:

\[
h = 0.294 \times 544
\]

Calculating this:

\[
h = 160.896
\]

Since the number of hits must be a whole number, we round this to the nearest whole number:

\[
h \approx 161
\]

However, since that doesn't appear in the provided options, let's check which of the given options is closest.

Among the options:
- 148 hits
- 160 hits
- 165 hits
- 159 hits

The closest whole number which fits is 160. So the number of hits the baseball player made is:

**160 hits.**