Question

Rachel found this rate of change for the scenario represented in the table.

What can you conclude from her work? Check all that apply.
The function is continuous.
Time represents the dependent variable.
The scenario is represented by a linear function, since the rate of change is constant.
As the amount of time continues, there are fewer cups of juice poured per hour.
For every additional hour, 53 cups of juice are poured.

Answer 1

it's A C E

Explanation:

You're welcome :)

Answer 2

THE FUNCTION IS CONTINOUS - True
We see from the table that for every hour given, there will be a value of juice (cups) given. The graph would have been a linear graph between the time 4 hours and 8 hours with no jump or holes in the graph.

TIME REPRESENTS THE DEPENDANT VARIABLE - False
Time is the independent variable as it does not depend on any other value. The number of cups, on the other hand, depends on the number of hours, hence is a dependent variable

THE SCENARIO IS REPRESENTED BY
A LINEAR FUNCTION, SINCE THE RATE OF CHANGE, IS CONSTANT - True
The rate of change is 53 cups per hour, hence the function is linear.

AS THE AMOUNT OF TIME CONTINUES, THERE ARE FEWER CUPS OF JUICE POURED PER HOUR - False
The rate of change is a positive value, hence the number of cups poured per hour will increase

FOR EVERY ADDITIONAL HOUR, 53 CUPS OF JUICED IS POURED - True
The difference between number of cups poured hourly is a constant of 53