SAT Math · Linear functions · medium

A model predicts that a company's monthly sales, in units, will be 50t + 200, where t is the number of months since launch. In month 4,…

A model predicts that a company's monthly sales, in units, will be 50t+20050t + 200, where tt is the number of months since launch. In month 4, actual sales were 410 units. What is the residual (actual minus predicted) for month 4?

Answer and explanation

Answer: C: 10

A residual is the actual value minus the predicted value. The model predicts 50(4)+200=40050(4) + 200 = 400 units for month 4. The actual sales were 410, so the residual is 410−400=10410 - 400 = 10, choice C. A positive residual means the model underestimated sales. Choice A (400) is the predicted value. Choice B (410) is the actual value. Choice D (−10-10) has the right size but the wrong sign, which comes from computing predicted minus actual. The question specifically says actual minus predicted.

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