Ashley reads 2 pages/minute for 10 minutes, takes a 10 minute break, and then reads at the same rate for 10 more minutes. Adam r
eads at the same rate the entire time. The equation for the number of pages he reads is y=1.2x. How are these functions similar? How are they different?
1 answer:
~In a total of 30 minutes Ashley has read 40 pages (20 the first 10 minutes and 20 more pages after her break)
~y=1.2x
~y is the total amount of pages Adam read
~x is the amount of time he read
~The function for Ashley should look like this y=2x
~The functions are similar because they both read at a constant rate for a constant amount of time
~The functions are different because Ashley reads 2 pages a minute where as Adam reads more or less (depending on if Adam took a break or not)
~I figure this because even though Adam's pages per minute is less, assuming he doesn't take a break his function (if graphed) could eventually exceed Ashley's.
For Example:
let's say Ashley reads for 10 minutes (2 pages per minute) she takes a 5 minute break and reads for another 10 minutes (also 2 pages a minute)
That would look like this:
~y=1.2x
~y is the total amount of pages Adam read
~x is the amount of time he read
~The function for Ashley should look like this y=2x
~The functions are similar because they both read at a constant rate for a constant amount of time
~The functions are different because Ashley reads 2 pages a minute where as Adam reads more or less (depending on if Adam took a break or not)
~I figure this because even though Adam's pages per minute is less, assuming he doesn't take a break his function (if graphed) could eventually exceed Ashley's.
For Example:
let's say Ashley reads for 10 minutes (2 pages per minute) she takes a 5 minute break and reads for another 10 minutes (also 2 pages a minute)
That would look like this:
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