High School

A weight lifter can bench-press 165 pounds. She plans to increase the weight [tex]W(x)[/tex] in pounds that she is lifting according to the function [tex]W(x) = 165(1.05)^x[/tex], where [tex]x[/tex] represents the number of training cycles she completes. How much will she bench-press after 4 training cycles?

Answer :

Final answer:

After applying the function W(x) = 165(1.05)^x with x = 4, the weight lifter will be able to bench-press approximately 200.56 pounds after 4 training cycles.

Explanation:

The question asks how much the weight lifter will bench-press after 4 training cycles, given the initial weight and the function representing the increase in weight after each cycle, W(x) = 165(1.05)^x. To find the weight bench-pressed after 4 training cycles, we input 4 as the value of x into the function.

W(4) = 165(1.05)^4

Now, we calculate the value:

W(4) = 165(1.21550625) = 200.55853125 pounds (approximately)

After 4 training cycles, the weight lifter will be able to bench-press approximately 200.56 pounds.

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