Question

question 3
lesson 6-2 · practice
part a
a dolphin is swimming at a depth of -50 feet and then ascends a certain number of feet to a depth above -35 feet.
the inequality (-50 + x > -35) can be used to find the number of feet the dolphin ascended.
the solution of the inequality in part a is (x > 15)
part b
what is the correct interpretation of the solution?
a) the dolphin ascended more than 15 feet.
b) the dolphin ascended less than 15 feet.
c) the dolphin ascended at least 15 feet
d) the dolphin ascended at most 15 feet.

Explanation:

The solution to the inequality is \( x > 15 \), where \( x \) represents the number of feet the dolphin ascended. The inequality \( x > 15 \) means that \( x \) (the ascent distance) is greater than 15. So we need to find the option that matches this interpretation. Option A says "The dolphin ascended more than 15 feet," which matches \( x > 15 \). Option B says less than 15, which would be \( x < 15 \), not our solution. Option C is "at least 15," which is \( x \geq 15 \), and Option D is "at most 15," which is \( x \leq 15 \). Neither C nor D match \( x > 15 \).

Answer:

A) The dolphin ascended more than 15 feet.