Emily works at a purfymery. she extracts 3 lliters of essential oil for perfumes in two days. assuming emily extracts essential oil at a constant rate, we can graph this relationship with time in days along the x-axis and quantity of oil in liters along the y-axis. what is the slope representing the relationship? and what is the amount of oil emily extracts after five days?

The slope representing the relationship =

Emily extract 7.5 liters oil after five days.

Step-by-step explanation:

Let time in days is represented by 'x' and quantity of oil in liters is represented by 'y'.

Assume Emily extracts essential oil at a constant rate.

Given statement :- Emily extracts 3 liters of essential oil for perfumes in two days.

We know that the slope of linear graph is the rate of change of  y (dependent variable) with respect to x (independent variable).

⇒ The amount of oil Emily extracts after one day = liters

Now, The amount of oil Emily extracts after  five days = liters

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

(0.2)+(-8)=0.3+-3+0.3m is the equation i guess? ?

step-by-step explanation: