!!!!!!!!!!ANSWER!!!!!!!!!!!!!!

A company has an inventory of books that is decreasing at a constant rate. After selling the book for 4 days, they have 8.840 bo

lbvjy [14]

Answer:

The linear equation is:

$B(d) = 9500 - 165d$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$y = mx + b$

In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).

A company has an inventory of books that is decreasing at a constant rate. Write a linear equation for B in terms of d.

This means that the situation is modeled by a linear function in the following format:

$B(d) = B(0) + md$

After selling the book for 4 days, they have 8.840 books in stock and after selling it for 10 days they have 7,850 books in stock.

This means that B(4) = 8840, B(10) = 7850

Finding the slope:

The slope, having two points, is given by the change in the output(in this case B) divided by the change in the input(in this case d).

We have the points

(4,8840) -> When d = 4, B = 8840

(10,7850) -> When d = 10, B = 7850

Change in B: 7850 - 8840 = -990

Change in d: 10 - 4 = 6

Slope: $m = \frac{-990}{6} = -165$

So

$B(d) = B(0) - 165d$

(10,7850) -> When d = 10, B = 7850

We use this to find B(0). So

$B(d) = B(0) - 165d$

$7850 = B(0) - 165*10$

$B(0) = 9500$

The linear equation is:

$B(d) = 9500 - 165d$

5 0

3 years ago

I need help i will give them 100 points.

lilavasa [31]

Hello!

∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘

<h3>Slope Formula:</h3>

$\bold{\displaystyle\frac{y_2-y_1}{x_2-x_1}}$

<h3>Where</h3>

$\bold{y_2}$ is the y-coordinate of the second point

$\bold{y_1}$ is the y-coordinate of the first point

$\bold{x_2}$ is the x-coordinate of the second point

$\bold{x_1}$ is the x-coordinate of the first point

Check the First example:

$\bf{y_2}$ = 6

$\bf{y_1}$ = -2

$\bf{x_2}$ =3

$\bf{x_1}$ = -9

<h3>Plug in the Values</h3>

$\bf{\displaystyle\frac{6-(-2)}{3-(-9)} }$

6-(-2) is the same as 6+2; same with 3-(-9)

$\bf{\displaystyle\frac{6+2}{3+9}}$

Simplify:

$\bf{\displaystyle\frac{8}{12}}$

Is the slope negative? Nope!

<em>How about Option B?</em>

<em /> $\bf{\displaystyle\frac{7-9}{5-6}}$

$\bf{\displaystyle\frac{-2}{-1}}$

Right now it seems like the slope's negative, huh? Well, wait for it...

$\bf{2}$

Kaboom!

Please remember that

$\bigstar^\circ$ A negative number multiplied/divided by a negative number equals... a positive! :-)

We have 2 options left: C & D.

$\displaystyle\frac{-8-1}{8-(-8)}$

$\displaystyle\frac{-8-1}{8+8}}$

$\displaystyle\frac{-9}{16}}$

We did it! The slope's actually negative :)

How about Option D (just to make sure the third option is right)

-9-(-8)/-1-2

-9+8/-3

-1/-3

Again we have a negative over a negative.

<h3>Therefore, the correct option is</h3>

$\boxed{\boxed{\bold{Option~C}}}$

Hope everything is clear.

Let me know if you have any questions!

#LearnWithJoy

$\text{An~Emotional~Helper}$

$\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}$

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