Question

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at the end of each year in the table below.

Graph the proportional relationship described above, with the xxx-coordinate representing years, and the yyy-coordinate representing amount saved in thousands of dollars.

Answer 1

Keith's unit rate of change of dollars with respect to time is $1500.

Step-by-step explanation:

It is given that Keith is saving money for a car.

Year 1: 1500

year 2: 3000

year 3: 4500

Let y be the saved amount after x year.

The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).

The formula for rate of change is

Consider any two coordinate pairs.

Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is

Therefore, Keith's unit rate of change of dollars with respect to time is $1500.