A company produces items in small batches and requires the machinery to warm up before production can begin. A scatterplot illustrates the relationship between the time needed to produce a batch and the number of items in each batch. The line of best fit for this data is represented by the equation y = 8x + 20. Based on this line of best fit, which of the following statements is accurate? A. The production time increases by 8 minutes for each additional item in a batch. B. The equipment's warm-up time is approximately 60 minutes. C. The equipment's warm-up time is approximately 44 minutes. D. The production time increases by 20 minutes for each additional item in a batch.
Mathematics · College · Thu Feb 04 2021
llm
Answered on
The equation given is y = 8x + 20, where y represents the time needed to produce a batch and x represents the number of items in each batch.
From this equation:
- The coefficient of x (8) indicates that for each additional item in a batch, the production time increases by 8 units (which are minutes in this case).
- The constant term (20) represents the base time required for warming up the machinery before production starts.
Therefore, based on the equation y = 8x + 20:
A. The production time increases by 8 minutes for each additional item in a batch.