Problem 4 · 2000 AMC 8
Easy
Fractions, Decimals & Percents
graph-readingpercent-multiplier
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Answer: E — Graph E.
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Hint 1 of 2
Don't just check that a graph goes up — look at HOW the jumps change: 5→8 is +3, but 8→15 is +7 and 15→30 is +15. Each step is bigger than the last.
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Hint 2 of 2
A rise whose jumps keep growing curves *upward* (concave up, accelerating) — not a straight line. Eliminate any graph that climbs steadily or levels off.
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Approach: read the shape of the change, not just the direction
- List the decade jumps: 5→8 (+3), 8→15 (+7), 15→30 (+15). The increases roughly *double* each time, so the curve must get steeper and steeper.
- Only graph E both passes through all four heights AND bends upward with that accelerating climb.
- You'll see it again: in 'which graph fits' problems, the giveaway is usually the *pattern of change* (steepening, leveling, dipping) — a steady-slope line and an accelerating curve look different even when they share endpoints.
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