Answer:
The correct ordered pairs are:
{(1, 6.7), (2, 6.4), (3, 6.1)}
Option A is correct.
Step-by-step explanation:
A watering can dispenses water at the rate = 0.3 gallon per minute
The original volume of water in the can = 7 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?
First making the function:
The the volume of water in the can in gallons is represented by y and time in minutes is represented by x. Initially the volume is 7 gallons, after than water dispense at rate of 0.3 gallon per minute so, the function will be:
y=7-0.3(x)
Now, putting values to find ordered pairs
So, when time is 1 minute i.e x = 1
y=7-0.3(1)
y=7-0.3
y=6.7
So, when x=1, y=6.7 the ordered pair is: (1,6.7)
when time is 2 minutes i.e x = 2
y=7-0.3(2)
y=7-0.6
y=6.4
So, when x=2, y=6.4 the ordered pair is: (2,6.4)
when time is 3 minutes i.e x = 3
y=7-0.3(3)
y=7-0.9
y=6.1
So, when x=3, y=6.1 the ordered pair is: (3,6.1)
So, the correct ordered pairs are:
{(1, 6.7), (2, 6.4), (3, 6.1)}
Option A is correct.