Problem

In the context of \(\text{two}~\text{savings}~\text{plans}\), Model A has slope \(5~\text{dollars}~\text{per}~\text{month}\) and Model B has slope \(3~\text{dollars}~\text{per}~\text{month}\). Compare the \(\text{two}~\text{slopes}\).

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What this problem is really about

Two slopes are directly comparable only when they describe the same output per the same input unit. Their signs determine direction, their ordered values determine which change is faster, and subtracting the smaller rate from the larger—not adding them—measures the rate advantage in the original compound units.

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Model A increases faster because 5 dollars per month is 2 dollars per month more than 3 dollars per month.

Model A increases faster because its slope is larger, so it grows 8 dollars per month faster than Model B.

Both models increase at the same rate because they are both savings plans with positive slopes.

Model B increases faster because 3 dollars per month is smaller, so it reaches new amounts more quickly.

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In the context of \(\text{two}~\text{savings}~\text{plans}\), Model A has slope \(5~\text{dollars}~\text{per}~\text{month}\) and Model B has slope \(3~\text{dollars}~\text{per}~\text{month}\). Compare the \(\text{two}~\text{slopes}\).

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