Question

Emily works at a perfumery. She extracts 3 liters of essential oil for perfumes in 2 days.

1: 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. The slope of the line representing this relationship is __

2: A point on this line that corresponds to the amount of oil Emily extracts after 5 days is (5, __).

Answer 1

$\textrm{slope} = \dfrac{3\ \textrm{liters}}{2\ \textrm{days}} = \dfrac 3 2 \textrm{ liters/day}$ 

The equation is

 $y = \frac 3 2 x$

so after five days we have

$\frac 3 2 (5) = \frac{15}{2} \textrm{liters}$. 

We can write the point as

$(5, 7.5)$

Answer 2

Answer:

2/3

Step-by-step explanation: