8/15 times 3 1/3 and simplified

Step-by-step explanation:

Turn the second part into an improper fraction by multiplying the coefficient (the big 3) by the denominator of the fraction. You should get 3*3 = 9. Then add that number to the numerator of the fraction to get this:

Now, multiply directly across, so 8*10 over 15*3.

Now multiply out:  

You can simplify this into

Now, see how many times the denominator goes into the numerator evenly (1 time) and subtract that from the numerator to get

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: a and b

step-by-step explanation: