2.6.PS- 6
The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points $(3,132)$ and $(8,352)$ to find the number of soda bottles the machine can make each minute.
The machin

Answer

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Answer

Therefore, the machine can make 44 soda bottles per minute. So, the final answer is $\boxed{44}$

Steps

Step 1 ：Given two points (3,132) and (8,352), we need to find the slope of the line passing through these points.

Step 2 ：The formula for the slope of a line given two points (x1, y1) and (x2, y2) is: $\text{Slope} = \frac{y2 - y1}{x2 - x1}$

Step 3 ：Substituting the given points into the formula, we get: $\text{Slope} = \frac{352 - 132}{8 - 3} = \frac{220}{5}$

Step 4 ：$\text{Slope} = 44$

Step 5 ：Therefore, the machine can make 44 soda bottles per minute. So, the final answer is $\boxed{44}$