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

Mathematics

2 answers:

lawyer [12.5K]1 month ago

8 0

Response:

Detailed explanation:

babunello [11.8K]1 month ago

8 0

THE FUNCTION IS CONTINUOUS - True
The table indicates that for every hour indicated, there is a corresponding amount of juice (cups) provided. The graph would represent a linear progression between the hours of 4 and 8 without any discontinuities.

TIME IS THE DEPENDENT VARIABLE - False
Time acts as the independent variable since it remains unaffected by any other factors. Conversely, the number of cups is contingent upon the hours, categorizing it as a dependent variable.

THE SCENARIO IS CHARACTERIZED BY
A LINEAR FUNCTION AS THE RATE OF CHANGE IS CONSTANT - True
The rate of change is a steady 53 cups per hour, indicating a linear function.

AS TIME INCREASES, THERE ARE FEWER CUPS OF JUICE POURED EACH HOUR - False
Since the rate of change is positive, the cups poured each hour will actually increase.

FOR EACH EXTRA HOUR, 53 CUPS OF JUICE ARE POURED - True
The hourly difference in cups poured is consistently 53.

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Question 2

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Question 3

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