Question

An antiques dealer has 24 clock radios to sell at a 12-hour-long antique-radio sale. Use the graph to complete the table

Answer 1

22, 20, 18, 16, 14, 12

Answer 2

y=24-x

Explanation:

Looking at the graph we can trace a decreasing Linear function, where the Range is the Radios Remaining

And the Domain is labeled as Hours Completed

As the picture is not quite clear, let's calculate the slope using two points

(0,24) (12,12)

m=
`m=(12-24)/(0-12)=-(-12)/(12)`

As the m=-1, the Linear Coefficient is 24, then

The equation of the line is y=24-x

So now let's plug it in those values

x | y=24-x

0 | 24

2 | 22

4 | 20

6 | 18

8 | 16

10 | 14

12 | 12

Also, another easier way would be to solve it like an Arithmetic Sequence since the difference equals two, and it is decreasing we could mentally find it.

The Range of a Linear Function behaves like an Arithmetic Sequence.