A motorboat moves across a lake at a constant speed. When it begins, it is 37

km from the shore. After 6 minutes, it is 19 km from the shore. Which

function describes the motorboat's distance from the shore?

O A. y=-6x+37

O B. y=-3x + 37

O C. y = 6x6 37

O D. y = 3x + 37

And finding the slope we got:

And then the function would be given by:

And using the info from the first point we can find the y intercept

b =37

And the model ould be given by:

O B. y=-3x + 37

Step-by-step explanation:

For this case we assume that we can model the motorboard distance with a linear function given by:

Where m is the slope given by:

Where y represent the distance and x the time in minutes. And we have the following info given:

And finding the slope we got:

And then the function would be given by:

And using the info from the first point we can find the y intercept

b =37

And the model ould be given by:

O B. y=-3x + 37

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,