Question

A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of water in the can was 6 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?

{(1, 6.0), (2, 5.75), (3, 5.50)}
{(6.0, 1), (5.75, 2), (5.50, 3)}
{(1, 5.75), (2, 5.50), (3, 5.25)}
{(5.75, 1), (5.50, 2), (5.25, 3)}

Answer 1

Out of all of these, I believe your best bet is A :)

Answer 2

Answer: {(1, 5.75), (2, 5.50), (3, 5.25)}

Explanation:

Given: The original volume of water in the can was 6 gallons.

⇒ At x=0 minutes, water in the can (y)= 6 gallons

As watering can dispenses water at the rate of 0.25 gallon per minute.

Thus, at x= 1 minute, water in the can (y)= 6 -0.25 gallons= 5.75 gallons

At x=2 minutes, water in the can (y)= 5.75 -0.25 gallons= 5.50 gallons

At x=3 minutes, water in the can (y)= 5.50 -0.25 gallons= 5.25 gallons

Thus, {(1, 5.75), (2, 5.50), (3, 5.25)} is the required set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water.