IT TOOK STACY 6 MINUTES TO COUNT TO 1,000. IF SHE CONTINUED COUNTING AT THE SAME RATE, HOW LONG WOULD IT TAKE HER TO COUNT TO 1,000,000?
since 1,000,000 = 1,000 * 1,000, she'd have to count for 6*1000 minutes = 100 hours
It took Stacy 6 minutes to count to 1,000. If she continued counting at the same rate, how long would it take her to count to 1,000,000?
Well, it seems Stacy has quite the counting stamina! Let's do the math. If it took her 6 minutes to count to 1,000, we can assume she counts at a rate of 1,000 numbers per 6 minutes. To find out how long it would take her to count to 1,000,000, we need to make her count 1,000 times more numbers. So, if it took her 6 minutes to count to 1,000, it would take her... well, let me get my trusty calculator out... drum roll, please... 6000 minutes to count to 1,000,000! That's 100 hours or approximately 4.1 days non-stop! Stacy better make sure she's got plenty of snacks and water for that counting marathon!
To find out how long it would take Stacy to count to 1,000,000, we can use proportions.
Let's set up the proportion:
6 minutes is to 1,000 as X minutes is to 1,000,000.
We can solve for X using this proportion:
(6 minutes / 1,000) = (X minutes / 1,000,000)
To find X, we need to cross-multiply:
6 minutes * 1,000,000 = 1,000 * X minutes
6,000,000 = 1,000 * X minutes
Now, we can isolate X by dividing both sides of the equation by 1,000:
(6,000,000) / (1,000) = X
X = 6,000
Therefore, it would take Stacy 6,000 minutes to count to 1,000,000.
To find out how long it would take Stacy to count to 1,000,000 if she continues counting at the same rate, we need to compare the relationship between the numbers 1,000 and 1,000,000.
Let's assume that Stacy counts at a constant rate. We can set up a proportion to determine the time it would take her to count to 1,000,000.
The proportion we can use is:
(Counting time for 1,000) / 1,000 = (Counting time for 1,000,000) / 1,000,000
First, let's find the counting time for 1,000, which is given as 6 minutes.
(6 minutes) / 1,000 = (Counting time for 1,000,000) / 1,000,000
Next, we can solve this proportion to find the counting time for 1,000,000.
Cross-multiplying the equation:
(6 minutes) * 1,000,000 = 1,000 * (Counting time for 1,000,000)
This simplifies to:
6,000,000 = 1,000 * (Counting time for 1,000,000)
Dividing both sides of the equation by 1,000:
6,000,000 / 1,000 = Counting time for 1,000,000
This gives us:
6,000 = Counting time for 1,000,000
Therefore, it would take Stacy 6,000 minutes to count to 1,000,000 if she continues counting at the same rate.