Question

A company produces items in small batches. The machinery needs to warm up before the items can be produced. The scatterplot shows the time needed to produce batches of different numbers of items.

Line of best fit= y=8x+20

Based on the line of best fit, which of the following statements is true?
A. As the number of items in a batch increases by 1, the production time increases by 8 minutes.
B. It takes about 60 minutes for the equipment to warm up
C. It takes about 44 minutes for the equipment to warm up.
D. As the number of items in a batch increases by 1, the production time increases by 20 minutes.

Answer 1

The correct option is A.

Explanation:

The equation of best fit is

`y=8x+20`

Where, y is time needed to produce batches of different numbers of items and x is number of items in a batch.

The slope intercept form of a line is

`y=mx+b`

Where, m is slope and b is y-intercept.

On comparing both equations we get m=8 and b=20.

It means initial time is 20 or it takes about 20 minutes for the equipment to warm up.

Since m=8, so the production time increases by 8 minutes as the number of items in a batch increases by 1.

Therefore, the correct option is A.