http://prntscr.com/d571ib

Question

563blackghost · Answer

Since minutes is represented as `x` we would input 11 minutes as x. So for K we plug in 11.

$\huge\bf\color{purple}{y=26(11)}$

We analyze Machine J. We see that 3 inputs with an output of 90, as well as 6 inputs with an output of 180. There is a pattern here.

$\huge\bf\color{orange}{90=k\times3}$

To find K we need to divide.

$\huge\bf\color{orange}{\frac{90}{3}=k=30}$

So the equation is...

$\huge\bf\color{orange}{y=30x}$

So we input 11 as x for Machine J.

$\huge\bf\color{orange}{y=30(11)}$

To find the difference we subtract the two.

$\huge\bf\color{purple}{(26(11))}-\color{orange}{(30(11))}=\color{red}{difference}$

563blackghost · Answer

@volleyballlover55

563blackghost · Answer

Oops wrong way for the last equation.

$\huge\bf\color{purple}{(30(11))}-\color{orange}{(26(11))}=\color{red}{difference}$

volleyballlover55 · Answer

ok and then?

volleyballlover55 · Answer

@563blackghost

563blackghost · Answer

Thats it.

volleyballlover55 · Answer

but whats the final answer?

563blackghost · Answer

You have to figure it out. Simplify the last equation.

$\huge\bf\color{purple}{(30(11))}-\color{orange}{(26(11))}=\color{red}{difference}$

volleyballlover55 · Answer

yes, but it could only be one number

563blackghost · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @volleyballlover55
yes, but it could only be one number
$\color{#0cbb34}{\text{End of Quote}}$

I know. You have to subtract the two functions.

`(30(11)) - (26(11)) = difference`

volleyballlover55 · Answer

ohhh ok ..
is it 44?

563blackghost · Answer

Yup ^.^

volleyballlover55 · Answer

okie next!

One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48. 

Could the hypotenuses of these two triangles lie along the same line?

 Yes, because they are similar triangles
 Yes, because all triangles can fit along this line
 No, because they need to be the same size
 No, because they are not similar triangles

563blackghost · Answer

Due to the fact we are writing this out according to corresponding sides `7 increases to 28` and `12 increases to 48`. So these are dilating by a certain factor, to find it out you would divide the larger side by the smallest one.

$\huge\bf{\frac{28}{7}=4}$

$\huge\bf{\frac{48}{12}=4}$

They dilate by a factor of 4 so with that said they are similar triangles so, `Yes, the hypotenuses of these two triangles can lie along the same line because they are similar triangles`.

volleyballlover55 · Answer

ok next!

The equation shows the relationship between x and y: 

y = −9x + 5 

What is the slope of the equation?

 −14
 −9
 −4
 5

563blackghost · Answer

|dw:1478720531655:dw|

volleyballlover55 · Answer

so -9?

563blackghost · Answer

$\huge\bf{\checkmark}$

volleyballlover55 · Answer

http://prntscr.com/d58bmf

563blackghost · Answer

The intial value is the price you start at `(this is the y-intercept)`. To find the rate of change you would find the `slope.` So the we start at 2000 lets name that as x=0, with y = 750. Since 10 years have passed we will name the second points as x = 10, and y = 1350. So we have two points, `(0,750) and (10,1350)`

$\huge\bf{\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \rightarrow \frac{1350-750}{10-0}=slope}$

volleyballlover55 · Answer

so hold on for a, What is the rate of change and initial value for Elliot’s business? How do you know?

563blackghost · Answer

We are finding the rate of change `(this is the slope)`.

$\huge\bf{\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \rightarrow \frac{1350-750}{10-0}=slope}$

563blackghost · Answer

Make sure to simplify the fraction once you get it.

563blackghost · Answer

The initial value is the price at which he charges first starts. Since he started in the 2000 his initial value is 750.

volleyballlover55 · Answer

is this the answer :

The intial value is the price you start at (this is the y-intercept). To find the rate of change you would find the slope. So the we start at 2000 lets name that as x=0, with y = 750. Since 10 years have passed we will name the second points as x = 10, and y = 1350. So we have two points, (0,750) and (10,1350)

volleyballlover55 · Answer

@563blackghost

563blackghost · Answer

Correct :) Though please word it in your own way.

563blackghost · Answer

Make sure to include that you would use the slope formula and you should type in the answer you got for rate of change.

volleyballlover55 · Answer

how do i say i used the slop formula?

volleyballlover55 · Answer

@563blackghost