1. Find the slope of the straight line through the given pairs of points: (−2,6) and (−2,4)

2. Multiply the slopes of the lines through the given pairs of points:
(3,3) and (1,4)
(−7,3) and (−5,7)

3. The slopes of the lines through the given pairs of points are the same, find that slope:
(−2,5) and (3,−4)
(−1,−6) and (−6,3)

4. The slopes of the lines through the given pairs of points are the same, find that slope:
(4,8) and (−2,3)
(13,1) and (7,−4)

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.

step-by-step explanation: