SOLUTION: Which table will have the greatest value of y when x = 7? x 1 2 3 y 2 4 8 x 1 2 3 y 14 26 38 x 1 2 3 y 3 12 27 x 1 2 3 y 12 22 32

Question 1027532: Which table will have the greatest value of y when x = 7?
x 1 2 3
y 2 4 8
x 1 2 3
y 14 26 38
x 1 2 3
y 3 12 27

x 1 2 3
y 12 22 32
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Which table will have the greatest value of when ?
table 1:
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as you can see, equation for this table is
so, if , then

table 2:
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find formula first:

Solved by pluggable solver: Finding the Equation of a Line

First lets find the slope through the points (,) and (,)

Start with the slope formula (note: (,) is the first point (,) and (,) is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

So the slope is

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Now let's use the point-slope formula to find the equation of the line:

------Point-Slope Formula------
where is the slope, and (,) is one of the given points

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute

Multiply and to get . Now reduce to get

Add to both sides to isolate y

Combine like terms and to get

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Answer:

So the equation of the line which goes through the points (,) and (,) is:

The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is

Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver )

Graph of through the points (,) and (,)

Notice how the two points lie on the line. This graphically verifies our answer.

equation for this table is
so, if , than

table 3:
|

Solved by pluggable solver: Finding the Equation of a Line

equation for this table is:
so, if , than

table 4:
|

find formula first:

Solved by pluggable solver: Finding the Equation of a Line

equation for this table is
so, if , than

answer: table 2 will have the greatest value of when

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