Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike. According to this system of equations, can Leanne meet both her goals? A. No, she cannot ride the exercise bike a negative number of minutes. B. Yes, she can ride the exercise bike for 15 minutes 28 seconds. C. Yes, she can run on the treadmill for 15 minutes 28 seconds. D. No, she cannot run on the treadmill for a fractional number of 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.

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step-by-step explanation: