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faust18 [17]
3 years ago
12

Which of the following functions represents a cell phone bill if there is a monthly charge of 20 dollars plus 6 cents for each m

inute of use? f(x) = 20 + 6x f(x) = 20.06x f(x) = 20 + 0.06x
Mathematics
2 answers:
castortr0y [4]3 years ago
7 0
It would be f(x) = 20 + 0.06x
Semenov [28]3 years ago
3 0

Answer:

Option 3rd is correct

f(x) = 20 + 0.06x

Step-by-step explanation:

Let x be the time in minutes and f(x) be the cell phone monthly bill.

Given the statement:

if there is a monthly charge of 20 dollars plus 6 cents for each minute of use

Use conversion:

1 cent = 0.01 dollars

6 cents = 0.06 dollars

"\text{0.06 dollars for each minute of use} means 0.06 x

then;

the function represents a cell phone monthly bill is given as:

f(x) = 20 + 0.06x

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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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Read 2 more answers
Evaluate the function<br> f(x)= 7.45x + 33.7 at x= -4.3
slavikrds [6]
First, you have to substitute for x, which would make the problem f(x)=7.45(-4.3)+33.7
Now, you just have to use the PEMDAS method (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
f(x)= -32.035+33.7
f(x)=1.665
6 0
3 years ago
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