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zhannawk [14.2K]
2 years ago
10

Nly four tenths of the print area of the newspaper carried news. The rest of the area was filled with advertisements.

Mathematics
1 answer:
mafiozo [28]2 years ago
3 0
A is the answer ok and thank you
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Which of the following situations could be modeled by an exponential function?
Sauron [17]

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.

3 0
2 years ago
Help would be appreciated!
charle [14.2K]
C)
10hrs will get around 105 salaries
90hrs get 840+105=945
95 hours get 945+(105/2)=997.5
100 hours get 945+105=1050
6 0
3 years ago
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How man
babymother [125]

Answer:

40/6= 6.6667(20/3)

Step-by-step explanation:

I divided the number of days into 6.

5 0
3 years ago
Read 2 more answers
Which expression correctly shows 2x^5y−2x^2y factored completely over the integers?
Nat2105 [25]

Answer:

Option D, 2x^2y(x - 1)(x^2 + x + 1)

Step-by-step explanation:

<u>Step 1:  Factor</u>

2x^5y - 2x^2y

2x^2y(x^3 - 1)

<em>2x^2y(x - 1)(x^2 + x + 1)</em>

<em />

Answer:  Option D, 2x^2y(x - 1)(x^2 + x + 1)

3 0
3 years ago
Can someone work this out ? thank you
Anna11 [10]

Answer:

Step-by-step explanation:

(x + y)² - (x - y)² = 4xy

t = a² - b²

= (√8+2)²-(√8-2)²                    (here, x = √8 & y = 2}

=4*√8*2

=8√8

=8√2*2*2

=8*2√2

=16√2

7 0
2 years ago
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