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Marat540 [252]
2 years ago
14

Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential.

Identity whether your scenarios are linear or exponential. Provide an explanation to support your answers.. (Mark Brainliest.)​
Mathematics
1 answer:
elixir [45]2 years ago
5 0

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

S(2) = $100 + $80 + $80 = $100 + 2*$80

And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

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F(x) = -1/3x find the average rate of change of f from -2 to 2
Bas_tet [7]
Average rate=(change in y)/(change in x)

if f(x)=-x/3

r=( f(2)-f(-2) )/(2--2)

r=(-2/3-2/3)/(2+2)

r=(-4/3)/4

r=-4/12

r=-1/3

For a line, this is always true, since all lines have a constant velocity, the average velocity over any interval is equal to the slope.

8 0
3 years ago
Juanita is planting a flower garden. She wants to plant 24 tulips, and twice as many daffodils as tulips. A tulip plant costs $3
slavikrds [6]

Answer:

The total cost is \$168

Step-by-step explanation:

Let

x-----> the number of tulips

y-----> the number of daffodils

C-----> the total cost

we know that

x=24\ tulips

y=2x

substitute the value of x

y=2(24)=48\ daffodils

Find the total cost

C=3x+2y

substitute

C=3(24)+2(48)=\$168

5 0
3 years ago
a group of students went hiking in wildlife sanctuary. during the hike a total of 180 ticks and mosquitoes were slapped. if thes
SVEN [57.7K]

Answer:

m = 100, t = 80

Step-by-step explanation:

m +  t = 180

6m + 8t = 1240

3 0
2 years ago
What is the calculation for determining simple interest and compound interest? Borrowing if borrowed $20,000 for 5 years at a 4%
yarga [219]

Answer:

If using simple interest, the formula is:

= Amount * ( 1 + rate * time)

= 20,000 * ( 1 + 4% * 5)

= $24,000

Interest = Balance after 5 years - Investment

= 24,000 - 20,000

= $4,000

Using Compound Interest:

= Amount * ( 1 + rate)^time

= 20,000 * ( 1 + 4%)⁵

= $24,333.06

Interest = 24,333.06 - 20,000

= $4,333.06

6 0
3 years ago
What is the equation of the circle with center (0, 0) that passes through the point (5, -4)?
Katyanochek1 [597]
The standard form of a circle is (x-h) ^{2} +(y-k) ^{2} = r^{2} where h and k are the center and x and y are the coordinates you're given.  We need to solve for the radius to finish this off correctly.  Filling in, we have (5-0) ^{2} +(-4-0) ^{2} = r^{2} and 25+16= r^{2}, giving us that r^{2}=41.  Therefore, our equation is x^{2} + y^{2} =41
4 0
3 years ago
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