MATHEMATICS HIGH SCHOOL

These two functions represent the growth of two different bacterial cultures in terms of the number of bacteria after x days.f(x) = 2,000(2)^x (other one on the graph)

Answer the following:
A) Which function has the higher initial amount of bacteria? g(x) or f(x)
B) Which function has the greater amount of bacteria after two days? g(x) or f(x)

Answers

Answer 1

Answer:

Answer:

A. The function f(x) has the higher initial amount of bacteria.

B. The function g(x) has the higher amount of bacteria after two days.

Step-by-step explanation:

The given function is

$f(x)=2000(2)^x$

The graph of g(x) passing through the points (0,1000) and (1,3000). So the initial value is 1000 and the growth factor is 3.

The function g(x) is

$g(x)=1000(3)^x$

Part A:

Substitute x=0, to find the initial blue of the functions.

$f(0)=2000(2)^0=2000$

$g(0)=1000(3)^0=1000$

Since 2000>1000, therefore the function f(x) has the higher initial amount of bacteria.

Part B:

Substitute x=2, to find the amount of bacteria after two days.

$f(2)=2000(2)^2=8000$

$g(2)=1000(3)^2=9000$

Since 8000<9000, therefore the function g(x) has the higher amount of bacteria after two days.

Related Questions

Bob drove 59 miles per hour for 4 hours. How far did Bob drive?
What’s the y value for the given value of x Y=x+5; x=3
What is the midpoint of AB if A(6,-2) and B(10,4)
Help I need help can some help me!! I give you
Hello I need help please I am stock

Ali wants to buy a piano. the piano measures 19/4 feet long. she has a space 5 feet

Answers

She'll have enough room cause 19/4 needs to be a mixed number, which is 4 3/4 feet.
Hope this helps C=

The distance in meters of a basket suspended on a spring to a tabletop below is dependent on the number of steel bearings in the basket. The function representing this relationship is d(m) = 7 – 2m, where d(m) represents the distance in meters, and m represents the number of steel bearings in the basket. Which set represents the evaluation of the function d(m) = 7 – 2m when m ∈ {0, 1, 2, 3}?

Answers

The set representing the evaluation of the function d(m) for m ∈ {0, 1, 2, 3} is {7, 5, 3, 1}.

What is the set of the evaluation?

To evaluate the function d(m) = 7 - 2m for different values of m, we simply need to substitute each value of m from the given set {0, 1, 2, 3} into the function and compute the corresponding d(m) values.

Let's calculate d(m) for each value of m:

For m = 0:

d(0) = 7 - 2(0) = 7

For m = 1:

d(1) = 7 - 2(1)= 7 - 2 = 5

For m = 2:

d(2) = 7 - 2(2) = 7 - 4 = 3

For m = 3:

d(3) = 7 - 2(3) = 7 - 6 = 1

So the set representing the evaluation of the function d(m) for m ∈ {0, 1, 2, 3} is {7, 5, 3, 1}.

Learn more about set of function here: brainly.com/question/29631554

#SPJ3

Answer:

do u have a pic or something

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between heigh h of the candle and time t. Predict how tall the candle will be after 8 hours.

Answers

Let

x------> the time in hours

y------> the height in inches

$A(3,17)\nB(5,15)$

Step $1$

Find the slope m of the linear equation between points A and B

we know that

The formula to calculate the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitutes the values

$m=((15-17))/((5-3))$

$m=((-2))/((2))$

$m=-1$

Step $2$

Find the equation of the line

we know that

the equation of the line in the point-slope form is

$y-y1=m*(x-x1)$

we have

$m=-1$

$A(3,17)$

substitute in the equation

$y-17=-1*(x-3)$

$y=-x+20$ --------> this is the linear equation that model the relationship between height h of the candle and time t

Step $3$

Find the height for $x=8$ hours

substitute the value of x in the linear equation

$y=-8+20$

$y=12\ inches$

The height of the candle will be $12\ inches$ after $8\ hours$

For the linear equation you have two points (3, 17) and (5, 15) so the equation is: h-17=(15-17)/(5-3)*(t-3), solve for h= -t+20.
For predicting, only replace t=8 into you equation (h= -t+20) and you will get h=-8+20=12

Terrance and his family are planning how to pay for his college education. The cost of tuition at his chosen college is $14,500 per year. Terrance's parents will pay 80% of the tuition cost every year and he will pay the rest. Terrance has two years to save enough money to attend his first year of college. What is the minimum amount he should save every month in order to reach his goal? PLZ REPLY ASAP!

Answers

Answer:

terrence will have to play 2900

Step-by-step explanation:

80% * 14500

14500-11600

2900

80% of 14500 = 11600

14500-11600=2900

He needs to save 2900 a month

Please help due in a hour 20 points

Answers

Answer:

Y= -2x + 19

Step-by-step explanation:

Answer:

y = - 2x - 19

Step-by-step explanation:

y = -2x + c

→ Substitute in the x and y coordinates

-7 = 12 + c

c = -19

Which of the following is not the same set of numbers?natural numbers
whole numbers
counting numbers

Answers

it is natural numbers

Other Questions

Is it possible for an event to have a probability of 1? Explain.

Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your How can he check his answer?Show the correct solution:

Sue is ready to move into a new apartment. Her new rent is 125% of what she paid in the last month. If the new rent is $650, how much rent did she pay in the last month?

The roots of x2 − ( ) + 34 are 5 ± 3i.