Graph the linear function , 6x+8y=-32

So the easiest way to do this is to convert this standard form equation into slope-intercept form, which is y = mx+b (m = slope, b = y-intercept). The slope indicates whether the line is going upwards and downwards and at what rate, and the y-intercept is where the line crosses the y-axis.

Firstly, subtract both sides by 6x:

Next, divide both sides by 8 and your slope-intercept form will be:

So with this equation, since the slope is negative, the line is going downwards. You will graph this line so that when x increases by 3, y decreases by 2 and so that the line passes (0,-4). Here are some of the points on this line to help you:

(0,-4), (3, -6), (6,-8), etc.

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.

i can't see the picture : /