In inverse proportion, as one quantity increases, the other:

In inverse proportion, as one quantity increases, the other:

• A. One increases as the other decreases.
• B. Both increase at the same rate.
• C. Both decrease at the same rate.
• D. One remains constant while the other changes.

Answer: (A)

Inverse proportionality means the two quantities multiply to a constant, so as one grows, the other must shrink to keep the product the same. If one quantity doubles, the other becomes half, assuming the constant stays the same. So the situation described—one increases while the other decreases—fits inverse proportionality. The other possibilities describe different relationships: both increasing at the same rate would be a direct proportionality; both decreasing at the same rate is also a direct-type stretch; one staying constant while the other changes doesn’t reflect an inverse link.

Inverse proportionality means the two quantities multiply to a constant, so as one grows, the other must shrink to keep the product the same. If one quantity doubles, the other becomes half, assuming the constant stays the same. So the situation described—one increases while the other decreases—fits inverse proportionality. The other possibilities describe different relationships: both increasing at the same rate would be a direct proportionality; both decreasing at the same rate is also a direct-type stretch; one staying constant while the other changes doesn’t reflect an inverse link.