The prize of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of the following functions f(x) can be used to represent the price of the medal x years after 2000?

Respuesta :

Hey there!

Consider the exponential growth equation:

[tex]f(x) = P(1 + r)^{t} [/tex], where:

P = initial amount
r = interest rate (as a decimal, divide a percentage by 100 to get its decimal form)
t = years

All you need to do is plug in your given numbers:

P = 120
r = 0.10
t = x

Your final equation will be:

[tex]f(x) = 120(1.10)^{x}[/tex]

Hope this helped you out! :-)

The function that should be used  to represent the price of the medal x years after 2000 is [tex]f(x) = 120 (1.10)^x[/tex]

Given that,

  • The prize of bronze has increased by 10% per year from 2000.
  • In the year 2000, Harry bought a bronze medal for $120.

Based on the above information, the calculation is as follows:

[tex]f(x) = P(1 + rate)^t[/tex]

Here P means $120

rate is 10%

T = x

So, it should be

[tex]f(x) = 120 (1.10)^x[/tex]

Therefore we can conclude that The function that should be used  to represent the price of the medal x years after 2000 is [tex]f(x) = 120 (1.10)^x[/tex]

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