Question

representing proportional relationships
the graph shows the number of coffee orders darnell made based on the number of hours he had been working. write an equation to represent the relationship between the number of hours worked and the total coffee orders made
$y=kx$
$k=\frac{y}{x}$
what are values of x and y in the ordered pair (2,30) mean
□ in 30 hours, 2 orders were made
□ in 2 hours 30 orders were made
□ in 2 orders, 30 hours were made
rewatch

Explanation:

Step1: Define variables

Let $x$ = hours worked, $y$ = total orders

Step2: Identify ordered pair meaning

The pair $(2,30)$ has $x=2$ (hours), $y=30$ (orders)

Step3: Calculate constant of proportionality

$k=\frac{y}{x}=\frac{30}{2}=15$

Step4: Write proportional equation

$y=kx$ substitute $k=15$: $y=15x$

Answer:

For the ordered pair meaning:
In 2 hours, 30 orders were made
The proportional equation: $y=15x$