The function f(x) = 3500^x represents the annual cost of this cancer treatment in x amount of years option (B) is correct.
It is defined as a function that increases exponentially. The exponential function is in the form of a^x where a is the constant value.
Exponential function can be written as:
[tex]\rm f(x) = a^x[/tex]
Where a is the base and a constant value.
We have:
A current cost for the life saving cancer treatment = $3500
And it is growing exponentially.
As we can see in the options the two option represents the exponential function with the current cost of $3500
[tex]\rm f(x) = 3500^x[/tex]
At x = 1 (current year)
f(x) = $3500 (current cost)
At x = 2 (second year)
f(x) = 3500² ⇒ $12,250,000 (cost at second year)
The cost increased exponentially.
Thus, the function f(x) = 3500^x represents the annual cost of this cancer treatment in x amount of years option (B) is correct.
Learn more about the exponential function here:
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