What is the independent and dependent variable in the situation. And what is the rate of change for the situation?
Hannah delivered 12 newspapers after 20 minutes and 36 papers after 60 minutes
not exactly clear, but I'd say that the independent variable is the number of papers. The dependent variable is how long it takes to deliver them.
However, it could also be interpreted as the other way. Given a time period, how many papers can she deliver?
I think so too. The independent variable is the number of papers and dependent is how long it takes them to deliver.
In this situation, the independent variable is time, and the dependent variable is the number of newspapers delivered.
To find the rate of change, we can determine the slope of the line that represents the relationship between the number of newspapers delivered and the time. The slope of a line expresses the rate of change.
First, we need to calculate the change in the number of newspapers delivered and the change in time.
The change in the number of newspapers delivered is 36 - 12 = 24.
The change in time is 60 - 20 = 40.
Now, we can calculate the rate of change:
Rate of Change = Change in Dependent Variable / Change in Independent Variable
Rate of Change = 24 / 40
Simplifying the fraction:
Rate of Change = 3 / 5 or 0.6
So, the rate of change for this situation is 0.6 newspapers per minute.