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Mathematics 21 Online
OpenStudy (anonymous):

i need MAJOR HELP!! http://prntscr.com/9kcexj

OpenStudy (anonymous):

PLZ HELP

OpenStudy (solomonzelman):

question 3?

OpenStudy (anonymous):

both plz

OpenStudy (solomonzelman):

Not enough info on the 1st question on the screeenshot.

OpenStudy (anonymous):

ooops im sorry

OpenStudy (anonymous):

http://prntscr.com/9kchfy

OpenStudy (anonymous):

here it is

OpenStudy (anonymous):

plz explain

OpenStudy (solomonzelman):

For #3; \(\color{#000000 }{ \displaystyle 4.5\times2.20+3\times x=15 }\)

OpenStudy (anonymous):

ok i understand that one

OpenStudy (solomonzelman):

Why? You know that each pound of apples is 2.20 dollars, and you bought 4.5 pounds. You also know that each pount of peaches is 3 dollars, but you don't know how many pounds of peaches you bought. And you know, lastly, that the entire cost is 15.

OpenStudy (solomonzelman):

So, that is #3.... let's move on to the first problem.

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

Your labels are: x - correctly answered questions. y - test score.

OpenStudy (solomonzelman):

Can you give me the two points based on the given information in the question?

OpenStudy (anonymous):

77 and 97?

OpenStudy (solomonzelman):

Hint: The points are in the form, (Correctly answered Q's \(,\) Test Score) \(=\) (x \(,\) y)

OpenStudy (solomonzelman):

Yes, good, one of the points is (x,y) = (77, 97)

OpenStudy (solomonzelman):

And what is the other point?

OpenStudy (solomonzelman):

oh, no

OpenStudy (anonymous):

I...dont know that part

OpenStudy (solomonzelman):

77,97 is not a point; I made a mistake

OpenStudy (solomonzelman):

You are given that when 13 questions are answered correctly, the score is 77. So, the point in a form of: (correct answer, test score) you have, (13,77)

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

So, what is the other point in a form of (correct answers, test score) ?

OpenStudy (anonymous):

13 and 18?

OpenStudy (solomonzelman):

no

OpenStudy (solomonzelman):

When 18 questions are answered correctly, what was the test score?

OpenStudy (anonymous):

97

OpenStudy (solomonzelman):

yes, so your other point is?

OpenStudy (solomonzelman):

in the form of (correct answers, test score) ...

OpenStudy (anonymous):

(18,97)

OpenStudy (solomonzelman):

Yes, so your two points are,

OpenStudy (solomonzelman):

(13, 77) (18, 97)

OpenStudy (anonymous):

(13,77)

OpenStudy (solomonzelman):

You need to find the equation of the line that goes through these two points; (13, 77) (18, 97)

OpenStudy (solomonzelman):

What is the slope between these two points?

OpenStudy (anonymous):

that part i dont know

OpenStudy (anonymous):

how to find the slope

OpenStudy (solomonzelman):

The slope formula is: \(\color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{b}-\color{red}{d}}{\color{green}{a}-\color{darkgoldenrod}{c}} }\) where; \(\color{black}{ \displaystyle {\rm m} }\) is the slope \(\color{black}{ \displaystyle (\color{green}{a}~,~~\color{blue}{b}) }\) and \(\color{black}{ \displaystyle (\color{darkgoldenrod}{c}~,~~\color{red}{d}) }\) are your two points.

OpenStudy (solomonzelman):

In our case, your points \(\color{black}{ \displaystyle (\color{green}{18}~,~~\color{blue}{97}) }\) and \(\color{black}{ \displaystyle (\color{darkgoldenrod}{13}~,~~\color{red}{77}) }\).

OpenStudy (anonymous):

ok imma do the math

OpenStudy (anonymous):

ok i got 4

OpenStudy (solomonzelman):

Yes, very good!

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

is that my answer?

OpenStudy (solomonzelman):

No...

OpenStudy (anonymous):

ok what next

OpenStudy (solomonzelman):

And another formula you need to know is, Point slope formula, \(\color{black}{ \displaystyle y-\color{blue}{b}=\color{red}{\rm m}(x-\color{green}{a})}\) where; \(\color{red}{ \displaystyle {\rm m} }\) is the slope \(\color{black}{ \displaystyle (\color{green}{a}~,~\color{blue}{b}) }\) is the point.

OpenStudy (solomonzelman):

this will help you find the equation of the line.

OpenStudy (solomonzelman):

Choose any of the two points; (13, 77) or (18, 97) which one do you prefer to use?

OpenStudy (anonymous):

(13,77)

OpenStudy (solomonzelman):

Yes, we can use that point. (And we could have used the other point as well)... so, let's re-write this with our numbers.

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

\(\color{red}{ \displaystyle {\rm 4} }\) is the slope \(\color{black}{ \displaystyle (\color{green}{13}~,~\color{blue}{77}) }\) is the point. What would then be your equation?

OpenStudy (anonymous):

im sorry how to find the equation?

OpenStudy (anonymous):

its confusing

OpenStudy (solomonzelman):

If you are given that: If you are given that: \(\color{red}{ \displaystyle {\rm m} }\) is the slope \(\color{red}{ \displaystyle {\rm 4} }\) is the slope \(\color{black}{ \displaystyle (\color{green}{a}~,~\color{blue}{b}) }\) is the point. \(\color{black}{ \displaystyle (\color{green}{13}~,~\color{blue}{77}) }\) is the point. then, your equation is: then, your equation is?? \(\color{black}{ \displaystyle y-\color{blue}{b}=\color{red}{\rm m}(x-\color{green}{a})}\)

OpenStudy (solomonzelman):

Compare the sides, and tell me your equation.

OpenStudy (anonymous):

for the m slope is it 27-6=3(9-4)?

OpenStudy (solomonzelman):

try again please

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

I will repost it.

OpenStudy (solomonzelman):

If you are given that: If you are given that: \(\color{red}{ \displaystyle {\rm m} }\) is the slope \(\color{red}{ \displaystyle {\rm 4} }\) is the slope \(\color{black}{ \displaystyle (\color{green}{a}~,~\color{blue}{b}) }\) is the point. \(\color{black}{ \displaystyle (\color{green}{13}~,~\color{blue}{77}) }\) is the point. then, your equation is: then, your equation is?? \(\color{black}{ \displaystyle y-\color{blue}{b}=\color{red}{\rm m}(x-\color{green}{a})}\)

OpenStudy (solomonzelman):

Oh I am sorry

OpenStudy (anonymous):

sorry for what

OpenStudy (solomonzelman):

You only needed to slope, so the answer is indeed 4

OpenStudy (solomonzelman):

We don't need the equation of the line.

OpenStudy (anonymous):

oh

OpenStudy (solomonzelman):

yeah

OpenStudy (anonymous):

thx man!:)

OpenStudy (solomonzelman):

yw

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