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What happens to the value of the expression (10 )/(d) as d increases from a small positive number to a large positive number? Choose 1 answer: A) It increases. (B) It decreases. (C) It stays the same.

What happens to the value of the expression 10d \frac{10}{d} as d d increases from a small positive number to a large positive number?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.

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Full solution

Q. What happens to the value of the expression 10d \frac{10}{d} as d d increases from a small positive number to a large positive number?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
  1. Analyze Function Behavior: Let's analyze the behavior of the function f(d)=10df(d) = \frac{10}{d} as dd increases.\newlineAs dd becomes larger, the denominator of the fraction 10d\frac{10}{d} becomes larger.
  2. Denominator Increases: Since the numerator of the fraction 10d\frac{10}{d} is constant (1010), and the denominator is increasing, the overall value of the fraction must decrease.
  3. Fraction Value Decreases: This is because, in general, for a fraction ab\frac{a}{b}, if aa is constant and bb increases, then the value of the fraction decreases.
  4. Value of Expression Decreases: Therefore, as dd increases from a small positive number to a large positive number, the value of the expression 10d\frac{10}{d} decreases.

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