Question

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

(Chart)

$------ 2-60. 4- 120. 6- 180. 8-240

(Answers)

A)$2.

B)$30.

C)$60.

D)$120​

Answer 1

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

Hence, option C is true.

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.