Respuesta :
Answer:
The function describes the motorboat's distance from the shore [tex]y=-4x+50[/tex]
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 = [tex]\frac{\text{Final distance}-\text{Initial distance}}{time}=\frac{14-50}{9}=-4[/tex]
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 [tex]y=-4x+50[/tex]
