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What happens to the value of the expression 
(80 )/(h) as 
h 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 80h \frac{80}{h} as h h 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.

Full solution

Q. What happens to the value of the expression 80h \frac{80}{h} as h h 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. Understanding the Relationship: Understand the relationship between the numerator and the denominator in the expression (80h)(\frac{80}{h}).\newlineAs hh increases, what happens to the fraction as a whole?\newlineSince 8080 is a constant and hh is in the denominator, as hh increases, the overall value of the fraction decreases.
  2. Behavior as hh Approaches Infinity: Consider the behavior of the expression as hh approaches infinity.\newlineWhat is the limit of 80h\frac{80}{h} as hh approaches infinity?\newlineThe limit of 80h\frac{80}{h} as hh approaches infinity is 00, which means the expression decreases towards 00 as hh increases.
  3. Correct Description of Behavior: Choose the correct answer based on the behavior of the expression.\newlineWhich option correctly describes the behavior of (80)/(h)(80)/(h) as hh increases?\newlineOption (B) "It decreases" is the correct answer because as hh gets larger, the value of the expression gets smaller.

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