Question

Data regarding the amount of money earned and saved by teenagers were collected. The graph shows the correlation between money earned (in dollars per hour) and money saved (in dollars):

Answer 1

The estimated average rate of change from x = 3 to x = 11 is approximately $1.22 per hour, indicating the increase in money saved per additional hour worked.

The average rate of change between x = 3 and x = 11 can be estimated by finding the difference in the values of money saved (y-values) divided by the difference in the corresponding money earned (x-values).

Let's calculate the average rate of change:

`\[ \text{Average Rate of Change} = \frac{\text{Change in Money Saved}}{\text{Change in Money Earned}} \]`

For x = 3 to x = 11:

Change in Money Saved} = 8 - (-1.75) = 9.75

Change in Money Earned} = 11 - 3 = 8

`\[ \text{Average Rate of Change} = (9.75)/(8) \]`

Therefore, the estimated average rate of change is approximately 1.21875 dollars per hour. This suggests that, on average, for every additional hour worked between x = 3 and x = 11, the money saved increases by approximately $1.22.

Que. Data regarding the amount of money earned and saved by teenagers were collected. The graph shows the correlation between money earned (in dollars per hour) and money saved (in dollars):

Estimate the average rate of change from x = 3 to x = 11.

8

−1.75

−8

−0.57