A new museum had 7500 visitors this year. the museum curators expect the number of visitors to grow by 5% each year. the function y=7500 (1.05) x models the predicted number of visitors each year after x years. how many visitors will there be in the third year?

Question

Mathematics

Taniya Brock

16 January, 01:48

A new museum had 7500 visitors this year. the museum curators expect the number of visitors to grow by 5% each year. the function y=7500 (1.05) x models the predicted number of visitors each year after x years. how many visitors will there be in the third year?

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Alexandria Wade · Answer 1

The equation shown above for the prediction of the number of visitors in each year is absolutely right. However, it can be written as,

y = 7500 (1.05) ^x

to be able to avoid confusions.

Substituting 3 to the x in the equation will give us,

y = 7500 (1.05) ^3

= 8682.188

≈8682

Therefore, there will be approximately 8682 visitors in the third year.