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Mathematics 21 Online
OpenStudy (howard-wolowitz):

ONE QUESTION!

OpenStudy (michele_laino):

here we have a similar problem, namely we have to determine the coefficient a and b of the subsequent relationship (linear): y=ax+b

OpenStudy (anonymous):

c

OpenStudy (anonymous):

c

OpenStudy (anonymous):

each time add 4.80 to the number before

OpenStudy (michele_laino):

in order to that I will use the data of your problem: \[\left\{ \begin{gathered} 204.80 = 4a + b \hfill \\ 209.60 = 8a + b \hfill \\ \end{gathered} \right.\]

OpenStudy (michele_laino):

from the first equation I get:\[b = 204.8 - 4a\]

OpenStudy (howard-wolowitz):

yeah thats what i got the 204.8

OpenStudy (michele_laino):

then I substitute it into the second equation: \[209.6 = 8a + 204.8 - 4a\]

OpenStudy (howard-wolowitz):

and i solve that foe a correct?

OpenStudy (michele_laino):

yes!

OpenStudy (michele_laino):

it's all ok now!

OpenStudy (howard-wolowitz):

1.2

OpenStudy (howard-wolowitz):

Great!

OpenStudy (michele_laino):

wait please, I'm going to check your result

OpenStudy (michele_laino):

that's right!

OpenStudy (michele_laino):

now, we have to compute the value of b

OpenStudy (howard-wolowitz):

and we get $214... something i know

OpenStudy (michele_laino):

in order to that, I substitute a=1.2 into the expression for b, namely: \[b = 204.8 - 4a = 204.8 - 4 \times 1.2 = ...?\]

OpenStudy (michele_laino):

I think b=200

OpenStudy (michele_laino):

204.8 - 4.8 = 200

OpenStudy (howard-wolowitz):

ok one sec

OpenStudy (howard-wolowitz):

but thats been solved and i cant solve that its already done

OpenStudy (michele_laino):

It is the first time that I solve this problem

OpenStudy (howard-wolowitz):

hmm ok one sec so b=200 then what do we do? somehow pug it in

OpenStudy (michele_laino):

our function is: y= 1.2x+200

OpenStudy (michele_laino):

now we have to set x=12, and compute the correspondent value og y, namely: y= 1.2*12+200=...?

OpenStudy (howard-wolowitz):

ok

OpenStudy (howard-wolowitz):

y=214.4

OpenStudy (michele_laino):

congrats! you got the right answer

OpenStudy (michele_laino):

so what is the right option?

OpenStudy (howard-wolowitz):

C

OpenStudy (michele_laino):

yes! :)

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