There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.

Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"

Number line with closed circle on 2 and shading to the left.
Number line with closed circle on 2 and shading to the right.
Number line with open circle on 2 and shading to the left.
Number line with open circle on 2 and shading to the right.

Number line with closed circle on 2 and shading to the right

Step-by-step explanation:

Due to this being a speedy answer, I will forego and explanation

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.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.