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kipiarov [429]
3 years ago
10

The expression 3 ( 1 . 5 )^ t models the number of bacteria in a culture as a function of the number of hours since the culture

was created.
What does 3 represent in this expression?

A- There were initially 3 bacteria in the culture.

B- The culture was created 3 hours ago.

C-The number of bacteria is multiplied by 3 each hour.
Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Given

3(1.5)^{t}

When the culture was created t = 0, thus

3(1.5)^{0} = 3 × 1 = 3

That is there were initially 3 bacteria in the culture → A

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3 years ago
(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the
melisa1 [442]

Answer:

<u>Slope-intercept</u> form of a <u>linear equation</u>:  y=mx+b

where:

  • m is the slope
  • b is the y-intercept

To determine the equation of the <u>line of best fit</u> from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases.  Therefore, the <u>slope</u> of the equation will be <u>positive</u>.

(If the y-values decrease as the x-values increase, then the <u>slope</u> would be <u>negative</u>).  

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other.  The options given for the slope are either 1.560 or 4.105.  If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A:  y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit:  (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

7 0
1 year ago
Help me to answer this math please
Cloud [144]

The water consumption based on the information for three months will be 22267m³.

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The total water consumption for the three months will be:

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In conclusion, the information simply wants you to add the values of the water given.

Therefore, the water consumption based on the information for three months will be 22267m³.

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brainly.com/question/24741444

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