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PSYCHO15rus [73]
2 years ago
12

Matthew has been observing 10 bacteria in a petri dish for his science class. If the bacteria population doubles every 12 hours,

how many bacteria will be in the dish after 2 full days?
A. 20 bacteria
B. 40 bacteria
C. 80 bacteria
D. 160 bacteria
Mathematics
1 answer:
zheka24 [161]2 years ago
5 0
B 40 bacteria that's the answer lol
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<h3>Answer:  Choice D</h3>

4x - 3y = 15

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Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
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We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

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An Infinite Number of solutions is the answer! LMK if you have any more questions, and have a nice day/evening.

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10 ft³ x 1728 in³/ft³ = 17,280 in³

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