At time x=0, water begins to drip steadily out of a water tank. After 3 hours , there are 6.8 gallons of water in the tank. After 9 hours, 4.4 gallons remain. Write a linear function rule that models the number of gallons of water y left in the tank for any number of hours x. The linear function rule is y = ___

Step-by-step explanation:

Let the Linear Function to represent the drip of water out of the water tank be:

Where is the time

is the number of gallons at that time

is the rate at which water drips

is the initial number of gallons of water in the tank

Putting the given values in the above equation:

Subtracting (1) from (2):

Putting in equation (1):

Therefore, the linear function equation to represent in the situation is:

y=mx+b

step-by-step explanation:

m slope, b y-intercept