1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nalin [4]
2 years ago
10

Which of the following situations could be modeled by an exponential function?

Mathematics
1 answer:
Sauron [17]2 years ago
3 0

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

You might be interested in
One positive number exceeds another by 7​, and their product is 78. Find the numbers.
Alona [7]

Answer:

13 and 6

Step-by-step explanation:

  • 13 • 6 = 78
  • 13 – 6 = 7

3 0
3 years ago
PLEASE HELP HIGH POINTS
koban [17]

Step-by-step explanation:

here is your answer hope you will enjoy mark me as brain list

thank you

7 0
2 years ago
Read 2 more answers
Find the Slope <br><br> A. 2/5<br> B.5/2<br> C.-2/5<br> D.-5/2
Fiesta28 [93]
The answer is a bc it’s pointing upwards which makes it positive and the rise is 5 and the run making it 2/5
5 0
3 years ago
Read 2 more answers
Given g(x)<br><img src="https://tex.z-dn.net/?f=g%28x%29%20%3D%200.3%20%7Bx%7D%5E%7B2%7D%20%20%2B%2052" id="TexFormula1" title="
horsena [70]

Answer:

no solution

Step-by-step explanation:

5 0
3 years ago
What is the slope of y = 5x?
9966 [12]

Answer:

The slope of the line is -5

4 0
3 years ago
Read 2 more answers
Other questions:
  • Subtract (8x + 6) - (x + 4)
    12·2 answers
  • Find the volume of the oblique cone.
    9·2 answers
  • determine whether y varies directly with x. if so find the constant variation and write the equation x -6, -9, -15; y 2, 3, 5
    7·2 answers
  • College Alisha is putting cheese cubes and crackers onto small plates. She has 24 cubes of cheese and 40 crackers. She want both
    6·1 answer
  • Please help on 10 thank you so michy
    13·1 answer
  • If the probability of a win is 0.24 and the probability of a draw is 0.16, what is the probability of a loss
    9·1 answer
  • -3x + 9y=-57 x=4 what is the answer
    7·2 answers
  • Simplify the number using the imaginary unit i square root of -98
    14·2 answers
  • Help please <br> Brainiest answer to whoever is first
    15·1 answer
  • A flagpole is 48 feet tall.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!