Question

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?

Answer 1

the initial slope would be (2, 3)
and the amount of oil she would extract would be 7.5 liters
Oil      3 + 3 + 1.5 = 7.5
Days  2    2     1 = 5

Answer 2

Answer: The slope representing the relationship = $\dfrac{3}{2}$

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).

$\text{i.e. Slope}=\dfrac{\text{change in y}}{\text{change in x}}\\\\\Rightarrow\ \text{Slope}=\dfrac{3}{2}$

⇒ The amount of oil Emily extracts after one day = $\dfrac{3}{2}$ liters

Now, The amount of oil Emily extracts after  five days = $\dfrac{3}{2}\times5=7.5$ liters