Question

Chandler was a caretaker at the state zoo. he noticed that the number of animals adopted by the zoo increases at a constant rate every year since 2010 which of the following graphs shows the slowest rate at which the animals in the zoo were adopted?

Answer 1

Out of the two options in the picture, option C

Explanation:

Option C shows negative growth as the trend line is going down.

Answer 2

Option C.

Explanation:

To find the trend of adoption of the animals by the zoo we will find the slope of line given in each graph.

For graph B.

Given line is passing through two points (0, 3) and (2, 15)

Slope of the line
`m_(A)=(15-3)/(2-0)`

`m_(A)=(12)/(2)=6`

For graph C.

Given line is passing through (0, 12) and (4, 0)

Slope of the line in graph
`m_(B)=(0-12)/(4-0)`

`m_(B) =-(12)/(4)=(-3)`

In these two lines, line in graph C is showing negative slope which means adoption of animals by zoo is showing negative trend.

So Option C. is showing the slowest rate at which the animals in the zoo were adopted.