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The altitude of a car (y) as a driver descends a mountain is shown by the equation y = -250x + 1500, where...

6. The altitude of a car (y) as a driver descends a mountain is shown by the equation y = -250x + 1500, where x is the time in hours of the descent. Interpret the x- and y- intercepts in terms of the problem.
A) The y-intercept shows that the highest point the driver was at was 250 ft., and the x-intercept shows that it took 4 hours to descend the whole mountain.
B) The y-intercept shows that the highest point the driver was at was 1500 ft., and the x-intercept shows that it took 6 hours to descend the whole mountain.
C) The y-intercept shows that the highest point the driver was at was 1750 ft., and the x-intercept shows that it took 6 hours to descend the whole mountain.
D) The y-intercept shows that the highest point the driver was at was 1500 ft., and the x-intercept shows that it took 10 hours to descend the whole mountain.

Answer

Correct Answer: B) The y-intercept shows that the highest point the driver was at was 1500 ft., and the x-intercept shows that it took 6 hours to descend the whole mountain.

  1. The y-intercept is the value of y when x = 0, which is 1500 ft. This represents the highest point.
  2. The x-intercept is the value of x when y = 0. Solving -250x + 1500 = 0 gives x = 6, indicating it took 6 hours to descend.

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