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pshichka [43]
3 years ago
14

Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping

mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Mathematics
1 answer:
seropon [69]3 years ago
6 0

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that A(0) = 109

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that r = 0.03

So

A(t) = A(0)(1-r)^t

A(t) = 109(1-0.03)^t

A(t) = 109(0.97)^t

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

A(4) = 109(0.97)^4 = 96.49

Rounding to the nearest whole number, 96 people.

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