A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 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? (1 point)

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

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.

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