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One Response
Quick rule of thumb: do the “double test.” If you double A and B also doubles (or in general multiply A by c and B multiplies by the same c), that’s direct proportion: y = kx. If you double A and B halves (multiply A by c and B divides by c), that’s inverse proportion: y = k/x. Another fast check: in direct proportion the ratio y/x stays constant; in inverse proportion the product xy stays constant. Also, if x = 0 would force y = 0, you’re likely in direct proportion-if there’s a base fee or offset, it’s not a pure proportion at all.
Examples to anchor it: fixed price per kg → more kg gives more cost (direct). Fixed total bill split between people → more people means less per person (inverse). Driving at a fixed speed → time and distance are direct; for a fixed trip distance, time and speed are inverse. If the wording sounds like “more gets you more,” think direct; “more gets you less,” think inverse.
Hope this helps!