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alexdok [17]
3 years ago
11

It is predicted that for the next 8 years, the number of connected devices in households across the world will be 18.36% more th

an the previous year. What type of relationship most appropriately models this situation? A. exponential decay B. exponential growth C. linear decrease D. linear increase
Mathematics
2 answers:
LenKa [72]3 years ago
7 0

Answer:

exponential growth

Step-by-step explanation:

Burka [1]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

B. Exponential growth

<h2>Why?</h2>

From the statement we know that "It is predicted that for the next 8 years, the number of connected devices in households across the world will be 18.36% more than the previous year."

We know that the expression "will be 18.36% more than the previous year" involves a non-linear growth, since the number of connected devices from a year to another will be related to the previous year, so, we can modelate the situation establishing an exponential growth relationship.

We can calculate the exponential growth using the following equation:

ExponentialGrowth=StartAmount(1+GrowthRate(percent))^{time}

Hence, the answer is:

B. Exponential growth

Have a nice day!

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Answer:

2 3 − 3 2 − 8 − 3

Step-by-step explanation:

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3 years ago
The price of a computer component is decreasing at a rate of 15​% per year. State whether this decrease is linear or exponential
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Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

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Answer:

The experiment is identifying whether a student gets less than a 75% on the entrance exam.

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Step-by-step explanation:

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The trial is the one exam being taken.

While an outcome is the aftermath of the experiment which includes a student scoring 80%.

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