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Mathematics 16 Online
OpenStudy (anonymous):

Help me please? Am I right?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

I'm not getting the same answer The notation \[\LARGE \lceil x\rceil \] means "ceiling". Basically whatever the input is, we round up to the nearest whole number examples: \[\LARGE \lceil 1.2\rceil = 2 \] \[\LARGE \lceil 2.7\rceil = 3 \] \[\LARGE \lceil 5.00001\rceil = 6 \] does this help?

OpenStudy (anonymous):

yeah D?

OpenStudy (anonymous):

oh wow i didnt know it was called ceiling so how do I enter that on a calculator?

jimthompson5910 (jim_thompson5910):

what kind of calculator do you have?

OpenStudy (anonymous):

I just use google, but i tried adding it up for that problem and im at around 3.. the closest would be D is that correct?

jimthompson5910 (jim_thompson5910):

yes I'm getting D as well. Nice job As for a calculator that supports the "ceiling function", geogebra is one that can. Other programs may be able to as well

OpenStudy (anonymous):

oh ok :) can you help me with 2 more? I'm not really getting these...

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

ceil(x) means "ceiling function of x" f(x) = 0.42 + 0.20*ceil(x-1) f(2.9) = 0.42 + 0.20*ceil(2.9-1) f(2.9) = 0.42 + 0.20*ceil(1.9) f(2.9) = 0.42 + 0.20*2 ... rounding UP to the nearest whole number f(2.9) = 0.82 f(x) = 0.42 + 0.20*ceil(x-1) f(4.1) = 0.42 + 0.20*ceil(4.1-1) f(4.1) = 0.42 + 0.20*ceil(3.1) f(4.1) = 0.42 + 0.20*4 ... rounding UP to the nearest whole number f(4.1) = 1.22 f(2.9) + f(4.1) = 0.82 + 1.22 = 2.04 so that confirms it is D) 2.04

OpenStudy (anonymous):

oh ok so it really is basically the ceiling

jimthompson5910 (jim_thompson5910):

yeah think of it as a vertical number line. If you're in between two whole numbers, then you want to move up to the nearest whole number

jimthompson5910 (jim_thompson5910):

\[\LARGE \lceil 3.2\rceil = 4\] \[\LARGE \lceil 2.9\rceil = 3\] so the two aren't equal

OpenStudy (anonymous):

C?

jimthompson5910 (jim_thompson5910):

what is \(\Large \lceil 4.8 \rceil\) going to be equal to?

OpenStudy (anonymous):

5

jimthompson5910 (jim_thompson5910):

you are correct sorry I misread choice D, let me try again lol what is \(\Large \lfloor 4.8 \rfloor\) equal to?

OpenStudy (anonymous):

5

jimthompson5910 (jim_thompson5910):

notice how the bars are going the other way

jimthompson5910 (jim_thompson5910):

\[\Large \lfloor 4.8 \rfloor = 4\] because we round down \[\Large \lfloor x \rfloor = \text{round down to the nearest whole number}\] \[\Large \lceil x \rceil = \text{round up to the nearest whole number}\]

OpenStudy (anonymous):

so it isnt D then?

jimthompson5910 (jim_thompson5910):

\[\Large \lfloor 4.8 \rfloor = 4\] \[\Large \lceil 3.2 \rceil = 4\] so the two are equal. It definitely is D

jimthompson5910 (jim_thompson5910):

it might help to draw a vertical number line with whole numbers on it |dw:1445899859974:dw|

OpenStudy (anonymous):

oh ok thanks :) what about this one

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

plot 4.8 on the number line |dw:1445899915891:dw| it's somewhere between 4 and 5 (closer to 5)

jimthompson5910 (jim_thompson5910):

the ceiling function tells us to go UP to the nearest whole number |dw:1445899953554:dw| so we bump up to 5

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