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Math·Advanced Math·Nonlinear functions

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For an online trivia game, 370 points are awarded for a correct answer if a question is answered in less than 5 seconds from the time the question is asked. Each 5 seconds after the question is asked, the number of points awarded for a correct answer decreases by 20% of the number of points awarded for a correct answer in the previous 5 seconds. Which function gives the number of points awarded for a correct answer x seconds from the time the question is asked, where x is a multiple of 5?

A

$f(x)=370(0.20{)}^{\frac{x}{5}}$

B

$f(x)=370(0.20{)}^{5x}$

C

$f(x)=370(0.80{)}^{\frac{x}{5}}$

D

$f(x)=370(0.80{)}^{5x}$