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Brenna is taking a trip on a train to visit her cousins. The function y=−60x+220y = -60x + 220 represents the number of miles to Brenna's destination, yy, depending on how many hours she has been on the train, xx.\newlineWhat is true about the function?\newlineChoices:\newline(A)It is linear because the rate of change stays the same.\newline(B)It is linear because the rate of change is decreasing.\newline(C)It is nonlinear because the rate of change stays the same.\newline(D)It is nonlinear because the rate of change is decreasing.

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Full solution

Q. Brenna is taking a trip on a train to visit her cousins. The function y=−60x+220y = -60x + 220 represents the number of miles to Brenna's destination, yy, depending on how many hours she has been on the train, xx.\newlineWhat is true about the function?\newlineChoices:\newline(A)It is linear because the rate of change stays the same.\newline(B)It is linear because the rate of change is decreasing.\newline(C)It is nonlinear because the rate of change stays the same.\newline(D)It is nonlinear because the rate of change is decreasing.
  1. Identify Function Type: Identify the type of function by examining the equation y=−60x+220y = -60x + 220.
  2. Determine Rate of Change: Determine the rate of change from the equation.
  3. Match Characteristics: Match the characteristics of the function with the given choices.

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