Final answer:
The lateral area of the cone-shaped hats can be represented by the function y = 20πx.
The correct option is A.
Step-by-step explanation:
The lateral surface area of a cone can be calculated using the formula LSA = πrℓ, where r is the radius of the base and ℓ is the slant height. In this case, the slant height is constant at 20 inches. So, the lateral area can be expressed as LSA = 20πr. Therefore, the function that represents the lateral area of the cone-shaped hats is y = 20πx, where y represents the lateral area and x represents the radius of the base.
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