Question

The amount of parts, p, that a shop produced in d days is shown in the table below. d 1 2 3 4 5 p(d) 66 132 240 326 455 Select the average rate of change for the number of parts that the company produced from day 1 to day 3.

Answer 1

Given:

The production on day 1 is 66.

The production on day 3 is 240.

We need to find the average rate of change in production from day 1 to day 3.

Consider the average rate of change formula.

`\text{The average rate of change=}(y_2-y_1)/(x_2-x_1)`
`\text{Substitute }y_2=240,y_1=66,x_2=3\text{ and }x_1=1\text{ in the formula.}`

`\text{The average rate of change=}(240-66)/(3-1)=(174)/(2)=87`

Final answer:

`\text{The average rate of change}=87`