a motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore. after 9 minutes, it is 14 km from the shore

Question

a motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore. after 9 minutes, it is 14 km from the shore. which function describes the motorboat’s distance from the shore? A. y=-9x+50 B. y=4x+50 C. y=-4x+50 D. y=9x+50

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Vivian 15 hours 2021-09-12T14:37:48+00:00 2 Answers 0

Answers ( )

    0
    2021-09-12T14:39:01+00:00

    Answer:

    The function describes the motorboat’s distance from the shore y=-4x+50

    Step-by-step explanation:

    A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

    After 9 minutes, it is 14 km from the shore.

    So, rate of change = \frac{\text{Final distance}-\text{Initial distance}}{time}=\frac{14-50}{9}=-4

    Negative sign shows that there is decrease in distance per minute

    The rate of change of distance is 4 km / minutes

    General equation : y = mx+c

    Where m is the slope and c is the constant

    Substitute the values in the equation :

    y=-4x+50

    Where y is the final distance and x is the minutes

    So, Option C is true

    Hence The function describes the motorboat’s distance from the shore y=-4x+50

    0
    2021-09-12T14:39:15+00:00

    Answer:

    -4

    Step-by-step explanation:

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