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1 year ago

9

Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply.

1 answer:

dem82 [27]1 year ago

8 0

Answer:

The table C is a linear functionFor a function to be a linear function, then the x and the y values must change at a constant rates.From the question, as the x values of table C constantly change by 1, the y values constantly change by -2This means that the table C is a linear function

Step-by-step explanation:

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What is the value of |–3.25| ?

34kurt

<u>Answer:</u>

<em>3.25</em>

<u>Step-by-step explanation:</u>

<em>Rule: An absolute value will always be positive. </em>

<em>=> Referring to the rule, the absolute value of |–3.25| is 3.25.</em>

Hoped this helped.

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

Anettt [7]

Answer:

1) The size of the colony after 4 days is 6553 mosquitoes

2) After $t = 4.9\ days$

Step-by-step explanation:

To answer this question you must use the growth formula

$N = N_0e ^ {kt}$

Where

$N_0$ is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and $N_0=1000$ then N = 1600

Then we use these values to find k.

$1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47$

Now that we know k we can find the size of the colony after 4 days.

$N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes$

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

$10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days$

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