The table shows the total number of bags of popcorn sold after the door to a movie theater was opened.
Between which two consecutive times was the average rate of change the greatest?
A. between Hour 1 and Hour 3
B. between Hour 3 and Hour 5
C. between Hour 5 and Hour 8
D. between Hour 8 and Hour 12
Stacey Warren - Expert brainly.com
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they're the greatest numbers
The question asks
the \(average\) rate of change the greatest, which means that the difference has to be divided by the number of hours in the interval.
Give it another try.
ok just a sec
I divided the bottom numbers
Can you state the answer instead of the letter?
This will avoid misunderstanding, and will help you check you answer unconsciously.
which gave me 6.8 while the other gave me 1
No, you got the wrong idea.
The numbers shown are cumulative, it said "number of bags sold \(after\) door was opened.
So you need to subtract consecutive numbers to get the number of bags sold during the period.
So you choose the maximum average number of bags.
Sorry, the last column is not clear, but you can still see the calculation.
I get that 1 and 22 would be correct. What I don't understand is how you know what to dived the number by
Rate of change = (change in y)/(change in x)
In the current context,
change in y=number of bags sold
change in x=number of hours elapsed
So for the first period between 1st and 3rd hours,
change in y = 147-22 = 125 bags
change in x = 3-1=2 hours
so the average rate of change is 125bags/2 hours = 62.5 bags / hours.
Repeat the same calculation for the other periods and you will get to choose the period containing the maximum number of bags sold per hour.
oh I get 3-1 gives you 2 therefore you divide by 2, ok thanks