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Agata [3.3K]
3 years ago
11

At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac

h hour. Write a formula for the population of bacteria.
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer: y = 54(1.06)^t

Step-by-step explanation:

It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 54

r = 6% = 6/100 = 0.06

Therefore, the formula for the population of bacteria is

y = 54(1 + 0.06)^t

y = 54(1.06)^t

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The formula is:<br> Y= mx+b
Aliun [14]
<h2>                             Question 1</h2>

Answer:

The graph is showing the story.

Step-by-step explanation:

Victoria is on the 13th page of the book, she reads 3 pages after every next hour.

After 1st hour she has read = 13 + 3 = 16

As she reads 3 pages after every next hour.

so

After 2nd hour she has read = 16 + 3 = 19

After 3rd hour she has read = 19 + 3 = 22

After 4th hour she has read = 22 + 3 = 25

After 5th hour she has read = 25 + 3 = 28

So the graph is showing this phenomena.

<h2>                          Question 2</h2>

Answer:

The equation that would generate this graph and table would be:

  • y=\:3x+13

Step-by-step explanation:

Given the slope-intercept form of the equation of the line

y=\:mx+b

Taking any two points

(1, 16)

(2, 19)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:16\right),\:\left(x_2,\:y_2\right)=\left(2,\:19\right)

m=\frac{19-16}{2-1}

m=3

Plugging any point, let say (1, 16), and m = 3 in the slope-intercept form to find the value of b (y-intercept).

y=\:mx+b

16=\:3\left(1\right)+b

\mathrm{Switch\:sides}

3\left(1\right)+b=16

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

3\cdot \:1+b=16

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3

3+b=16

\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}

3+b-3=16-3

b=13

Thus the equation that would generate this graph and table is:

y=\:mx+b

  • m = 3
  • b = 13

y=\:3x+13

Therefore, the equation that would generate this graph and table would be:

  • y=\:3x+13
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4 years ago
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matrenka [14]

Answer:

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and also that goat is soooo cute

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Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach.
wel

Answer:

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Step-by-step explanation:

comparison

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Answer:

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Step-by-step explanation:

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What value does the digit 8 have in the number 602,586,499,216,775?
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Answer:

thousands thousands thousands

Step-by-step explanation:

8 ten thousands

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