Sasha is driving her car at an average rate of 60 miles per hour she is driving directly to an Atlanta and it's 400 miles away the equation y equals 400 - 60 x can be used to represent the distance y Sasha is from Atlanta after x hours identify the slope and the y-intercept and explain what they represent

Question

Mathematics

Big Bird

21 June, 22:59

Sasha is driving her car at an average rate of 60 miles per hour she is driving directly to an Atlanta and it's 400 miles away the equation y equals 400 - 60 x can be used to represent the distance y Sasha is from Atlanta after x hours identify the slope and the y-intercept and explain what they represent

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Kassidy Rowe · Answer 1

The correct answer is slope - 60, represents Sasha's average speed and y intercept 400, represents her final destination.

Step-by-step explanation:

Sasha is driving to Atlanta at an average speed of 60 miles per hour which is 400 miles away.

The equation to represent the distance y Sasha is from Atlanta after x hours is given by y = 400 - 60x.

We compare the given equation with the slope intercept form of a straight line y = mx + c where m is the slope and c is the y intercept.

Slope of this equation is given by - 60 and the y intercept is 400.

Slope represents nothing but the average speed of Sasha's car. It is negative showing that with increase in time the Sasha is coming close to her destination, Atlanta.

y intercept represents Sasha's destination or the distance she has to travel to reach her destination.