Mathematics
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OpenStudy (anonymous):
Ok I've asked this question like five times today and I really need help.
11 years ago
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OpenStudy (anonymous):
Teresa and Elaine want to know who reads more pages per hour. Teresa keeps track of the number of pages she reads in a graph, and Elaine keeps track of how many pages she reads in a table.
How many pages per hour does each girl read, and who reads at a faster rate?
Teresa: ???? pages per hour
Elaine: ????pages per hour
The person who reads faster is: (Type T for Teresa or E for Elaine)
Elaine’s Reading Log
Time (h) 2.5 3 5 8
Pages read 70 84 140 224
11 years ago
jimthompson5910 (jim_thompson5910):
what is the slope of that given line in the graph?
11 years ago
OpenStudy (anonymous):
I dont understand how to do slope
11 years ago
jimthompson5910 (jim_thompson5910):
let's pick 2 points off that line, which 2 do you want to pick?
11 years ago
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OpenStudy (anonymous):
Ok
11 years ago
jimthompson5910 (jim_thompson5910):
which 2 points do you want to pick?
11 years ago
OpenStudy (anonymous):
(4.96) (2,48)
11 years ago
jimthompson5910 (jim_thompson5910):
what are the y coordinates of each point you just wrote down?
11 years ago
OpenStudy (anonymous):
(4.96)<- is 4 (2,48)<-2
11 years ago
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jimthompson5910 (jim_thompson5910):
you have the coordinates mixed up
11 years ago
jimthompson5910 (jim_thompson5910):
it goes (x,y)
11 years ago
jimthompson5910 (jim_thompson5910):
x comes first, then y comes next
11 years ago
OpenStudy (anonymous):
Oh my mad
11 years ago
jimthompson5910 (jim_thompson5910):
96 is the y coordinate of (4,96)
48 is the y coordinate of (2,48)
subtract the y coordinates: 96 - 48 = 48
11 years ago
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jimthompson5910 (jim_thompson5910):
what do you get when you subtract the x coordinates?
11 years ago
OpenStudy (anonymous):
2
11 years ago
jimthompson5910 (jim_thompson5910):
good, now you divide the differences (y over x)
48/2 = 24
11 years ago
jimthompson5910 (jim_thompson5910):
24 is the slope of that line
11 years ago
jimthompson5910 (jim_thompson5910):
24 represents Teresa's speed
in this case, it means she reads 24 pages per hour
11 years ago
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jimthompson5910 (jim_thompson5910):
what is the slope for Elaine ?
11 years ago
OpenStudy (anonymous):
96/4= 24 same
11 years ago
jimthompson5910 (jim_thompson5910):
did you use the reading log table?
11 years ago
OpenStudy (anonymous):
I'm confused?
11 years ago
jimthompson5910 (jim_thompson5910):
when you calculated 96/4= 24, did you use this table?
Elaine’s Reading Log
Time (h) 2.5 3 5 8
Pages read 70 84 140 224
11 years ago
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jimthompson5910 (jim_thompson5910):
or did you use the graph?
11 years ago
OpenStudy (anonymous):
The graph
11 years ago
jimthompson5910 (jim_thompson5910):
for Elaine, you use the table (not the graph)
11 years ago
OpenStudy (anonymous):
Ok
11 years ago
jimthompson5910 (jim_thompson5910):
Teresa uses the graph. We have already found the slope for Teresa
11 years ago
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jimthompson5910 (jim_thompson5910):
so if you want, you can throw away the graph (or cover it up or something)
11 years ago
OpenStudy (anonymous):
So it would be 28 pages
11 years ago
jimthompson5910 (jim_thompson5910):
very good, 28 pages per hour
11 years ago
jimthompson5910 (jim_thompson5910):
so Elaine is the faster reader. She reads 28 pgs per hour while Teresa reads 24 pgs per hour
11 years ago