Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (howard-wolowitz):

ONE QUESTION! URGENT!

OpenStudy (howard-wolowitz):

Some one earlier said it was B.. but im not sure about that

OpenStudy (michele_laino):

we have to proceed like the prvious exercises, namely we have to determine two coefficients, a and b such that: y = ax+b, where y is the money, and x are the hours

OpenStudy (howard-wolowitz):

ok

OpenStudy (michele_laino):

using your data I can write this system: \[\left\{ \begin{gathered} 82.75 = 2a + b \hfill \\ 360.75 = 6a + b \hfill \\ \end{gathered} \right.\]

OpenStudy (michele_laino):

now from the first equation, I write: b= 82.75- 2a

OpenStudy (michele_laino):

then I put that value of b into the second equation, and I get: \[360.75 = 6a + 82.75 - 2a\]

OpenStudy (michele_laino):

what is the value of a?

OpenStudy (howard-wolowitz):

one sec

OpenStudy (howard-wolowitz):

139 / 2

OpenStudy (michele_laino):

ok! a = 69.5

OpenStudy (michele_laino):

now we compute b substituting that value of a: \[b = 82.75 - 2 \times 69.5 = ...?\]

OpenStudy (michele_laino):

what is the value of b?

OpenStudy (howard-wolowitz):

82.75

OpenStudy (michele_laino):

no, it is: 82.75- 2*69.5= 82.75 - 139 = ...?

OpenStudy (howard-wolowitz):

its impossible t solve that?

OpenStudy (michele_laino):

why?

OpenStudy (howard-wolowitz):

ohh nvm sorry i see ... one sec

OpenStudy (howard-wolowitz):

-56.25

OpenStudy (michele_laino):

ok! So we have discovered that our function is: \[y = 69.5{\text{ }}x - 56.25\]

OpenStudy (michele_laino):

now, in order to get your answer, we have to compute y when x = 8, namely: \[y = 69.5{\text{ }}x - 56.25 = 69.5 \times 8 - 56.25 = ...?\]

OpenStudy (michele_laino):

what is the value of y?

OpenStudy (howard-wolowitz):

499.75 = C

OpenStudy (michele_laino):

that's right!

OpenStudy (howard-wolowitz):

Last one!

OpenStudy (michele_laino):

our line passes at points: A=2,15) B=(4,25) so we ahve to write the equation of the line which passes for those points

OpenStudy (michele_laino):

oops..have°

OpenStudy (michele_laino):

here are the steps: \[\begin{gathered} \frac{{y - 15}}{{25 - 15}} = \frac{{x - 2}}{2} \hfill \\ \hfill \\ y - 15 = 5x - 10 \hfill \\ y = 5x + 5 \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

so what is your option?

OpenStudy (howard-wolowitz):

C

OpenStudy (michele_laino):

ok!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!