Question

Which of the following equations can represent the function graphed below? Select all possible equations. Thank you!

Answer 1

Answer:

1st and 4th options are correct choices.

Step-by-step explanation:

We have been given a graph of a function. We are asked to find the equations that can represent our graphed function.

First of all let us find the slope of our given line.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us use two points (250,0) and (10,0) to find the slope of our given line.

$m=\frac{250-0}{0-10}$

$m=\frac{250}{-10}$

$m=-25$

We can see that slope our given line is -25 and y-intercept is 250 (at x equals 0).

Upon substituting m=-25 and b=250 in slope intercept form of equation we will get equation for our given line as:

$m=-25w+250$  

Now let us check our given options one by one.  

1. $m=250-25w$

We can see that 1st option is same as our equation, therefore, 1st option is a correct choice.

2. $m=250+25w$  

We can see that this option represents a positive slope, while our slope is negative, therefore, 2nd option is not a correct choice.  

3. $m=250w$

This option represents that slope is 250 and y-intercept is 0, therefore, 3rd option is not a correct choice.

4. $m+25w=250$

Upon subtracting 25w from both sides of our equations we will get,

$m+25w-25w=250-25w$

$m=250-25w$

Therefore, 4th option is a correct choice.

5. $m-25w=250$

Upon adding 25w from both sides of our equations we will get,

$m-25w+25w=250+25w$

$m=250+25w$

This option shows a positive slope, therefore, 5th option is not correct choice.

6. $250m-25w=10$  

$250m=10+25w$

$m=\frac{10+25w}{250}$

We can see that this is not as our equation, therefore, 6th option is not a correct choice as well.

Answer 2

Possible answers:
m = 250 - 25w
m + 25w = 250

Because the slope is -25 and the y-int is positive 250.

Hope this helps :)
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