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

1 answer

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.