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SashulF [63]
3 years ago
8

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

than the previous year. what type of relationship most appropriately models of situation?
exponential growth
exponential decay
linear decrease
linear increase
Mathematics
1 answer:
Maslowich3 years ago
5 0

This situation would be modeled by an exponential growth representation. This is because we are increasing by <em>18.36 percent </em>each year. This means that for each year, we take the number of households from last year and grow it by 18.36 percent. Thus, throughout the years, you accumulate more and more households, which leads to even bigger numbers.


If we were adding, for example, 18 households each year, the situation would be a linear increase situation. This is because the increase stays constant and does not change based on the numbers of the last iteration. Additionally, we know that our relationship is not a decreasing one because the problem says "more than the previous year," showing that there is growth occurring.

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Explanation:

When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.

___

If you have studied vectors, you can find the dot product of AC with BC:

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When the dot product of vectors is zero, they are perpendicular.

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what is the base of the exponent in the function f(x)=3(3\8)^2x when the function is written using only rational numbers and is
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The answer:

by definition, an exponential function with base c is defined by <span>h (x) = ac^x</span><span> 
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</span>so if we have  f(x)=3(3\8)^2x, this equivalent to f(x)=3(3\8)^y(x),
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therefore, the base is  3/8, and the variable is the function </span>y (x)=2x, 

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