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4 years ago

Sam is 4 times as old as Allie. Write an equation to model this situation.

2 answers:

7 0

Hi there!

Your answer is A, S=4A. S is representing Sam's age and the 4 is representing how many times older Sam is than Allie. Allie is represented by the variable A.

Notice I said "4 is representing how many times older Sam is than Allie."
A variable next to a number means to multiply, and times =multiply. Isn't the 4 next to the A?

Hope this helps!

Rzqust [24]4 years ago

5 0

The answer is A. S= 4A. Sam = Allie x 4

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3 years ago

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Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

pshichka [43]

Option D (The student should have used as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: $y=mx+b$ where m is the slope

Now, for finding equation the student used point slope form i.e $y-y_1=m(x-x_1)$

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

$y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3$

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step $y-5 = 2(x-(-8))$

So, Option D (The student should have used as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

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3 years ago

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