Question

ALGEBRA 1 BRIDGING DIAGNOSTIC I SECTION 1 1 1 OF 10

The number of bottles a machine fills is proportional to the number of minutes the machine operates. The
machine fills 250 bottles every 20 minutes. Create a graph that shows the number of bottles, y, the
machine fills in x minutes
А A

Answer 1

The answer is below

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