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Verdich [7]
3 years ago
11

The local museum had 20000 visitors in 1990 . The number of visitors has decreased by 3% each year since 1990 . Enter a function

m(x) to represent the number of visitors to the museum x years after 1990
Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

m(x)=20,000\cdot (0.97)^x

Step-by-step explanation:

We have been that the local museum had 20000 visitors in 1990 . The number of visitors has decreased by 3% each year since 1990.

We will use exponential function to write formula for the given problem as number of visitors decrease exponentially.

We know that an exponential function is in form f(x)=a\cdot b^x, where,

a = Initial value,

b = For decay b is in form (1-r), where r represents rate in decimal form.

Let us convert our given rate in decimal form.

3\%=\frac{3}{100}=0.03

Upon substituting our given values in above formula we will get,

m(x)=20,000\cdot (1-0.03)^x

m(x)=20,000\cdot (0.97)^x

Therefore, the function m(x)=20,000\cdot (0.97)^x represents the number of visitors to the museum x years after 1990.

oksano4ka [1.4K]3 years ago
7 0

Answer:

It is m(x) = 20,000(0.97)^x.

Step-by-step explanation:

After 1990, each year has (100-3) = 97% ( or 0.97) of visitors that it had the previous year.

So m(x) = 20,000(0.97)^x   (answer).

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Blizzard [7]

By using the given graph:

  • When x = -2, the value of the function is f(-2) = 1
  • When x = -0.5, the value of the function is f(-0.5) = 0.75
  • When x = 0, the value of the function is f(0) = 1.25
  • When x = 2.5, the value of the function is f(2.5) = 3
  • When x = 6, the value of the function is f(6) = 0
<h3></h3><h3>How to use the graph to find the values of the function?</h3>

Suppose that we want to find the value of the graphed function when x = a.

  • Then we first need to identify x = a in the horizontal axis.
  • Then we move upwards (or downwards) until we meet the curve of the function.
  • Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.

Now we can do these steps for each of the wanted values.

  • When x = -2, the value of the function is f(-2) = 1
  • When x = -0.5, the value of the function is f(-0.5) = 0.75
  • When x = 0, the value of the function is f(0) = 1.25
  • When x = 2.5, the value of the function is f(2.5) = 3
  • When x = 6, the value of the function is f(6) = 0

If you want to learn more about how to read graphs:

brainly.com/question/4025726

#SPJ1

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