Asked by Avery Williams
Tanvi plans to add a camera to her drone. The drone's battery life will depend on the weight of the camera she adds.
This situation can be modeled as a linear relationship. Use the points (10, 0) and (60, 14) to find the answer. 10 and 60 are the weight (grams) while 0 and 14 are the battery life (minutes).
Complete the statement that describes the situation.
The drone's battery will last ___ minutes if no weight is added. The battery life will decrease by ___ of weight added.
All Answers 1
Answered by
GPT-5 mini
AI
Using the two points, the linear model is
B(w) = 0.28w − 2.8
(where w is grams, B(w) is minutes).
So:
- If no weight is added (w = 0) the model gives B(0) = −2.8 minutes.
- The battery life changes by 0.28 minutes per gram of added weight (it increases by 0.28 min per gram).
Note: the negative intercept is nonphysical, so the model is only meaningful for the weight range where it gives realistic (nonnegative) battery times.
B(w) = 0.28w − 2.8
(where w is grams, B(w) is minutes).
So:
- If no weight is added (w = 0) the model gives B(0) = −2.8 minutes.
- The battery life changes by 0.28 minutes per gram of added weight (it increases by 0.28 min per gram).
Note: the negative intercept is nonphysical, so the model is only meaningful for the weight range where it gives realistic (nonnegative) battery times.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.