Question

A nurse hangs a 1000-milliliter IV bag which is set to drip at 100 milliliters per hour. Create a model of this situation to represent the amount of IV solution left in the bag after x hours.Step 3 of 3 : Write an equation in slope-intercept form to model this situation.

Answer 1

Given that:

- The bag contains 1000 milliliters of IV solution.

- The bag is set to drip at 100 milliliters per hour.

Let be "y" the amount of IV solution in the bag (in milliliters), and "x" the number of hours.

By definition, the Slope-Intercept Form of the equation of a line is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify that:

`\begin{gathered} m=-100 \\ b=1000 \end{gathered}`

The slope is negative because the amount of solution in the bag decreases after "x" hours.

Therefore, you can write the following equation of the line in Slope-Intercept Form to model the situation: