Final answer:
To find the total at-bats, we set up a proportion using the hit rate (2 hits per 7 at-bats) and the total hits (37). After cross-multiplying and solving for x, we find that the player has been up to bat approximately 130 times.
Step-by-step explanation:
The question asks us to estimate how many times a baseball player has been up to bat, given that they get a hit 2 times in every 7 at-bats and have gotten 37 hits so far. To solve this, we can set up a proportion because the rate of getting hits to at-bats should be consistent.
Let x be the total number of at-bats. The proportion, based on the information given, is as follows:
2 hits / 7 at-bats = 37 hits / x at-bats
We can cross-multiply to solve for x:
2x = 7 × 37
2x = 259
x = 259 / 2
x = 129.5
Since we can't have a half of an at-bat, we would round up to the nearest whole number, which gives us approximately 130 at-bats.
Therefore, the correct answer is (a) 130.