Question

A company produces items in small batches. The machinery needs to warm up before the items can be produced. The scattered plot shows the time needed to produce batches of different numbers of items. Based on the line of best fit, which of the following statements is true?

Answer 1

We use the equation of a staright line

We can conside the points

`\begin{gathered} (3,44)(5,60) \\ y=mx+c \\ m=(60-44)/(5-3) \\ m=8 \\ \\ y=mx+c \\ y=8x+20 \end{gathered}`

c= intercept on y-axis

The interpretation of the line y=8x+20 is explained as follows

1. It takes 20 mins for the equipment to warm up. As c refers to the starting point

2. x= number of items , y= production time

plug in x=1 , y= 28

x=2 , y= 36

x=3 , y=44

We will therefore conclude that the gradient denote the constant increment.That is , as the number of items increases by 1, the production time increses by 8.

Observe the y -values differ consistently by 8