Question

complete the statement that describes the situation. the drones battery will last 16 minutes if no weight is added. the battery life will decrease by ____ of weight added. 1 minute for every 10 grams 1 minute for every 30 grams 9 minutes for every 100 grams 30 minutes for every gram

Explanation:

Step1: Analyze the graph's slope

The y - intercept (when \(x = 0\), weight = 0) is 16 minutes. Let's take two points, say \((0,16)\) and \((100,13)\) (approximate from the graph, since at \(x = 100\), y is around 13). The change in y (battery life) is \(16 - 13=3\) minutes for a change in x (weight) of 100 grams? Wait, no, let's check the options. Let's check the option "1 minute for every 30 grams". Let's see, from \(x = 0\) (16 minutes) to \(x = 30\), what's the y - value? The line at \(x = 30\) is around 15 minutes (since from 16 at \(x = 0\) to 15 at \(x = 30\), that's a decrease of 1 minute for 30 grams. Let's verify another point. From \(x = 30\) (15 minutes) to \(x = 60\), the y - value is around 14 minutes. So again, 1 minute decrease for 30 grams added. Let's check the other options:

• "1 minute for every 10 grams": If we add 10 grams, the decrease should be 1 minute. But from \(x = 0\) to \(x = 10\), the battery life is still close to 16, not 15. So this is wrong.
• "9 minutes for every 100 grams": From \(x = 0\) to \(x = 100\), the battery life goes from 16 to around 13, a decrease of 3 minutes, not 9. So wrong.
• "30 minutes for every gram": This is impossible as battery life can't decrease by 30 minutes per gram (initial life is 16 minutes). So wrong.

So the correct rate is 1 minute for every 30 grams.

Answer:

1 minute for every 30 grams