Question

A liquid solution is slowly leaking from a container. The grab shows the milliliters of solution ,y, remaining in the container after x minutes

How many minutes will it take for the container to empty if the solution continues leaking at the rate? Show your work

Answer 1

90 minutes

Explanation:

See attachment for graph.

First, we need to determine the slope.

When y = 900, x = 0

When y = 600, x = 30

The slope is then calculated as:

m = (y2 - y1)/(x2 - x1)

m = (600 - 900)/(30 - 0)

m = -300/30

m = -10

Next, we determine the equation of the line using

y - y1 = m(x - x1)

So, we have:

y - 900 = -10(x - 0)

y - 900 = -10x

y = 900 - 10x

When the container is empty, y = 0.

So, we have:

0 = 900 - 10x

Collect Like Terms

10x = 900

Solve for x

x = 900/10

x = 90