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Mathematics 8 Online
OpenStudy (anonymous):

Sasha and Mona practiced swimming every day: They increased the number of minutes of swimming every week as described below. Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@jagr2713

OpenStudy (anonymous):

Mona's method is linear because the number of minutes increased by an equal factor every week. Sasha's method is exponential because it increases by an equal number every week. Mona's method is exponential because it increases by a fixed factor and Sasha's method is linear because it increases by a fixed number. Sasha's method is exponential because it increases by a fixed factor and Mona's method is linear because it increases by a fixed number.

jimthompson5910 (jim_thompson5910):

how far did you get here?

OpenStudy (anonymous):

What do you mean?

jimthompson5910 (jim_thompson5910):

did you get started?

OpenStudy (anonymous):

Yes. But I don't understand this one.

jimthompson5910 (jim_thompson5910):

ok show me what you have so far

OpenStudy (anonymous):

I did it on paper, but when I didn't get to far with this one since it was a little misleading for me

jimthompson5910 (jim_thompson5910):

for each time value for Sasha, how much is it increasing by each time?

OpenStudy (anonymous):

Well it increases by 10 the first time, then on it increases by 20

jimthompson5910 (jim_thompson5910):

so does that mean we have a linear relationship here?

OpenStudy (anonymous):

I would believe so.

jimthompson5910 (jim_thompson5910):

Incorrect. You only have a linear relationship if the increase is the same each time example: from 1 to 2, 2 to 3, 3 to 4, etc etc

OpenStudy (anonymous):

oh okay

jimthompson5910 (jim_thompson5910):

so we know Sasha's numbers don't follow a linear pattern how about Mona's?

OpenStudy (anonymous):

Mona's increase by 10 each time

jimthompson5910 (jim_thompson5910):

so Mona's numbers are linear

jimthompson5910 (jim_thompson5910):

it turns out that Sasha's data is exponential because the increased amount doubles each time +10 +20 +40 etc

OpenStudy (anonymous):

oh wow, I couldn't figure that out. Thanks!

OpenStudy (anonymous):

Can you help with a few more please?

jimthompson5910 (jim_thompson5910):

I'll help with one more, but I'll be right back in a few minutes

OpenStudy (anonymous):

Okay

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