Question

Jose plays little league baseball. this year, he got 42 hits out of 82 at bats. assuming he hits at a constant rate, what's the slope of the line that represents this relationship is the number of at bats is along the x-axis and the number of hits is along the y-axis?

Answer 1

The slope of the line representing the relationship between Jose's number of at-bats and hits is approximately 0.5122, indicating that for every at-bat, he gets about half a hit on average.

Step-by-step explanation:

To find the slope of the line that represents Jose's hits to at-bats ratio in little league baseball, we need to understand the concept of slope in the algebra of straight lines. The slope (m) of a line on a graph is calculated as the change in the y-axis divided by the change in the x-axis (rise over run).

Jose got 42 hits out of 82 at-bats. We can consider hits as our y-value and at-bats as our x-value. Therefore, to find the slope (m), we divide the total number of hits (y) by the total number of at-bats (x):

Slope (m) = Number of Hits / Number of At-Bats = 42 hits / 82 at-bats = 0.5122

This slope represents the rate at which Jose gets hits in relation to his at-bats, which means for every at-bat, there is an average increase of approximately 0.5122 in the number of hits Jose makes. This value is the constant rate for his hitting average shown on a graph with at-bats along the x-axis and hits along the y-axis.