Mathematics

Question

A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water level of 10 ft. It begins to rise by a constant rate of 1.5 ft per hour.

Will the river reach a level of 7 ft above normal after 5 hours? Explain.

1 Answer

  • The river will not reach a level of 7 ft. after 5 hours.

    A linear equation is in the form:

    y = mx + b

    where y, x are variables, m is the rate of change and b is the initial value of y.

    Let y represent the height of the water level after x hours.

    Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

    b = -1, m = 1.5. The equation becomes:

    y = 1.5x - 1

    To reach a level of 7 ft. That is y = 7:

    7 = 1.5x - 1

    1.5x = 8

    x = 5.3 hours

    The river will not reach a level of 7 ft. after 5 hours.

    Find out more at: https://brainly.com/question/13911928

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