The solution for a system of two linear equations is (0, 0). which equation below could be one of the equations in the system? a. b. y = –3x c. y = 4x – 5 d. y = 5 – x

y = -3x

Step-by-step explanation:

For the equation to be a part of a system, the point (0,0) must be a part of the line. Since y = -3x is proportional meaning b = 0, its y-intercept is (0,0). This means it must cross through and include (0,0). This is a part of the system.

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.