During the first month after the opening of a new shopping home, sales were $72 million. Each subsequent month, sales declined by the same fraction. If the sales during the third month after the opening totaled $18 million, what is that fraction?
3 Answers
I need some clarification.
Explanation:
1st month
3rd month
I assume that you are saying that every month, the sales drop in this manner:
1st month is $72 million,
(Letting fraction =
2nd month is $
So 3rd month is $
If so, please give me the thumbs up to go ahead..
Because it can also mean a fraction the original $72 million was removed in the 2nd month.
Explanation:
If we model this on an exponential function:
So
Testing this:
looking at $18 M. after 3 months.
We would expect after 6 months the amount to be:
And:
Explanation:
I'm reading the question this way - We have sales in Month 1 of $72M, month 3 of $18M, and an equal fraction decline from months 1 to 2 and 2 to 3. What's that fraction?
The first thing I'd do is to look at the fraction decline from 72 to 18:
Since this represents the total decline over 2 months, by observation we can see the fraction is
Testing this, we should see sales declining by
Month 1:
Month 2:
Month 3: