Question

The table shows a person saving money at a constant rate. How much is this person saving per week?

Answer 1

Answer:

We conclude that the person is saving $60 dollars per week.

Hence, option C is true.                        

Step-by-step explanation:

Given the table chart

Week                   Saving Money

2                           60

4                           120

6                           180

8                           240

We know to determine the slope to find the rate of change.

Taking the points (2, 60) and (4, 120)

Rate of change = Slope =  [y₂ - y₁] / [x₂ - x₁]

                                        = [120 - 60] / [4 - 2]

                                        = 60 / 2

                                        = $30 dollars per week

Now, taking the points (4, 120) and (6, 180)

Rate of change = Slope =  [180 - 120] / [6 - 4]

                                        = [60] / [2]

                                        = $30 dollars per week

Now, taking the points (6, 180) and (8, 240)

Rate of change = Slope =  [240 - 180] / [8 - 6]

                                        = [60] / [2]

                                        = $30 dollars per week        

• This concludes that the rate of change is contant i.e. $30 dollars per week

Therefore, we conclude that the person is saving $60 dollars per week.

Hence, option C is true.