Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.
The city of Raleigh, NC charges $1.95 fee and $2.70 per mile for each cab ride
List the range of the linear regression equation in interval notation. Round to the nearest thousandth if needed.
To find the range of the linear regression equation, we need to determine the maximum and minimum values of the equation.
Let x represent the number of miles driven.
The linear equation for the cab ride can be written as: y = 1.95 + 2.70x.
To find the minimum and maximum values, we need to determine the values of x that will give us the minimum and maximum values of y.
The minimum value of y will occur when x = 0 (no miles driven), so substitute x = 0 into the equation:
y = 1.95 + 2.70(0)
y = 1.95 + 0
y = 1.95
The maximum value of y will occur when there are an infinite number of miles driven. We can consider a very large value for x, such as x = 100,000. Plug this value into the equation:
y = 1.95 + 2.70(100,000)
y = 1.95 + 270,000
y = 270,001.95
Therefore, the range of the linear regression equation is [1.95, 270,001.95] in interval notation.