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The number of measles cases has increased by 5.3% since 2000.

Express your answer rounded correctly to the nearest hundredth.
Stated another way, the number of measles cases is
times what it was in 2000.

Express your answer rounded correctly to the nearest tenth of a percent.
Stated another way, the number of measles cases was
% of what it is now.

Sagot :

The expressions for the number of measles are y = a(1.05)^x and y = a(1.1)^x

How to express the number of measles?

Let the initial number of measles in 2000 be represented as:

Initial = a

The rate of increase is given as:

Rate, r = 5.3%

The number of measles in x years after 2000 is represented as:

y = a * (1 +r)^x

Substitute r = 5.3%

y = a * (1 + 5.3%)^x

So, we have:

y = a * (1 + 0.053)^x

Evaluate the sum

y = a * (1.053)^x

To express to the nearest hundredth, we approximate to 2 decimal places

y = a(1.05)^x

To express to the nearest tenth, we approximate to 1 decimal place

y = a(1.1)^x

Hence, the expressions for the number of measles are y = a * (1.05)^x and y = a * (1.1)^x

Read more about exponential functions at:

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