It takes 5 minutes to fill the sink using only the cold water. if both the hot water and the cold water are turned on, it takes 2 minutes to fill the sink. which is the correct table that can be used to determine x, the time in minutes it takes to fill the sink using only the hot water?

The third table is correct.

Cold water alone fills 1 sink at a rate of (1 sink)/(5 minutes).

Both hot and cold water fills 1 sink at a rate of (1 sink)/(2 minutes).

Hot water alone fills 1 sink at a rate of (1 sink)/(x minutes).

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.