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What happens to the value of the expression (5)/(x)+5 as x decreases from a large positive number to a small positive number? Choose 1 answer: A) It increases. (B) It decreases. (C) It stays the same.

What happens to the value of the expression 5x+5 \frac{5}{x}+5 as x x decreases from a large positive number to a small 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 5x+5 \frac{5}{x}+5 as x x decreases from a large positive number to a small positive number?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
  1. Analyze Expression: Let's analyze the expression (5)/(x)+5(5)/(x) + 5 as xx decreases from a large positive number to a small positive number.
  2. Increase with Decreasing xx: As xx decreases from a large positive number, the value of 5x\frac{5}{x} increases because the denominator of a fraction gets smaller, making the fraction itself larger.
  3. Effect of Adding 55: Since (5)/(x)(5)/(x) is getting larger and we are adding 55 to it, the overall value of the expression (5)/(x)+5(5)/(x) + 5 also increases.
  4. Overall Value Increase: Therefore, as xx decreases from a large positive number to a small positive number, the value of the expression 5x+5\frac{5}{x} + 5 increases.

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