Write equation Derek will get a bonus if he sells at least 50 sets of knives in a month use k to represent the number of knives
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The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.
The options are given in the image attached with the answer
<h3>What is a Function ?</h3>A function is a law that relates a dependent variable and an independent variable.
It is asked among the options given , which is increasing at the highest rate.
To increase at a rate , the value of the slope , m should be > 0
For the Option 1
for a straight line function , the slope is given by
m = ( y₂ -y₁)/(x₂-x₁)
m = ( -3 -3)/(2- (-1)) = -6 /3 = -2
Therefore the function is decreasing
For Option 2
12x - 6y = -24
-6y = -12x -24
y = 2x +4
m = 2 (increasing)
For option 3
m = (-4 + 5)/(2-1) = 1
For Option 4
(8,0) (0,-4)
m = (-4 -0) /(0-8) = 4/8 = 1/2
The highest rate on increasing is of 12x -6y = -24
Therefore Option B is the correct answer.
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Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the option 1, 2, and 3 are equivalent to .
The equations given in the problem are the linear equations.
<h3>Linear equation</h3>Linear equation are the equation which has the highest power of the unknown variable is 1.
Given-
1) The given expression in the problem is,
Rewrite the equation as,
Take out the negative sign from the bracket,
Rewrite the equation with positive terms first.
Hence the given equation is equivalent to the option 1.
2) The given equation,
On solving further take out the 7 common from the bracket,
Thus the given equation is equivalent to the option 2.
3) The given equation,
Split the term of <em>x,</em>
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Rewrite the equation,
Hence the given equation is equivalent to the option 3.
4) The given equation,
Split the term of <em>x </em>and constant term,
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Rewrite the equation,
Hence the given equation is not equivalent to the option 4.
Thus the expressions given in the option 1, 2, and 3 are equivalent to .
Learn more about the linear equation here;