Question

After 2 hours, there are 1,400 mL of fluids remaining in a patient’s IV. The fluids drip at a rate of 300 mL per hour. Let x be the time passed, in hours, and y be the amount of fluid left in the IV, in mL. Write a linear function that models this scenario.

Answer 1

Answer: $y=-300x+2000$

Step-by-step explanation:

By definition, the linear equation in its generic form is:

 $y-y_o=m(x-x_o)$

The problem says that the fluids drip at a rate of 300 ml per hour, then, the slope is:

m=-300

You have the following point

 $(x_o, y_o)=(2, 1400)$

 Substituting you have:

 $y-1400=-300(x-2)$

 Then you obtain the following equation:

$y=-300x+600+1400\\y=-300x+2000$