Answer:
The answer is below
Step-by-step explanation:
Let the number of bottles be y and the number of minutes the machine operate be x.
Given that number of bottles be is proportional to the number of minutes the machine operate, hence:
y is proportional to x.
⇒ y α x
y = kx, where k is a constant
when the number of bottles (y) = 250, the time the machine operates (x) = 20 minute. Therefore:
y = kx
250 = 20k
k = 250/20
k = 12.5
Hence the relationship between x and y is given as:
y = 12.5x
Plotting the function y = 12.5x using geogebra
