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okay so here were finding the initial amount and rate of change given a table for a linear function so the first thing we want to do well it tells us that its a linear function we want to go ahead and find the rate of change but lets go ahead and look at our questions first i guess that will give us a better indicator of what we should be looking for choose a statement that best describes how the time and amount of water in the pool are related one option is as time increases the amount of water decreases and the other as time increases the amount of water in the pool increases so we need to figure out are we putting water in or taking water out and it says here in the problem that were adding water and we can see that based on this is a our inputs x and our outputs y it is a function with relation to time as my minutes increase across the x-axis it changes the amount of water in gallons on the y-axis so as my time increases 8 to 12 to 16 we see that the water is also increasing 16