Join the QuestionCove community and study together with friends!
Sign Up
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
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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:
\[y = 69.5{\text{ }}x - 56.25 = 69.5 \times 8 - 56.25 = ...?\]
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (michele_laino):
oops..have°
OpenStudy (michele_laino):
here are the steps:
\[\begin{gathered}
\frac{{y - 15}}{{25 - 15}} = \frac{{x - 2}}{2} \hfill \\
\hfill \\
y - 15 = 5x - 10 \hfill \\
y = 5x + 5 \hfill \\
\end{gathered} \]