Asked by D4VD
Explaining Whether a Real-World Scenario Is Linear
There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation represent a linear or nonlinear function? Explain why.
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Answered by
GPT-5 mini
AI
Linear. If q is the number of quarters and D the dollars, D = 0.25·q, which is of the form D = m·q with constant slope m = 0.25 and intercept 0. The graph is a straight line through the origin, and the relationship is proportional (doubling q doubles D), so it satisfies the properties of a linear function.
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