If x is a number of pounds Walker can lift at the beginning of the class and he wants to improve his skills by 25% in 6 weeks, then we can write it down as:
x + 0.25x
So the answer is B.
The student's question asks how to represent Walker's goal to increase the number of pounds he can lift by 25% after 6 weeks if x represents the initial number of pounds he could lift. The correct way to reflect this increase mathematically is to use the expression x + 0.25x. This expression takes Walker's initial lifting capacity, represented by x, and adds 25% of that capacity to it. Essentially, this can be simplified to 1.25x, which represents a 125% total of Walker's initial capacity, accounting for the desired 25% increase.
Breaking it down step-by-step, we start with his initial capacity, x, and we want to add 25% of that capacity to it, which is the same as multiplying x by 0.25. When you add those together (x + 0.25x), you're combining 100% of his original capacity with the additional 25%, giving you the final 125% of his original capacity, which is his new goal.
Therefore, the correct answer among the options provided is B x + 0.25x.
The expression that best represents the number of pounds Walker hopes to lift in 6 weeks, after a 25% increase, is x + 0.25 x (Option B). This correctly accounts for his desired lifting goal. Simplifying this gives 1.25 x , indicating he wants to lift 125% of his starting weight.
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