Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled. after recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x. what does 0.45 represent in the equation?

Answer

The slope of the equation.

Explanation

The general equation of line is y = mx + c, where (x,y) is a point on the line, m is the slope and c is the y-intercept.

When the line is in the equation above, we can explain the meaning of each term.

After recording the  data plotting the line, Ted came up with the equation;

y = 300 + 0.45x.

Writing this in the form of y = mx + c we have,

y = 0.45x + 300.

m = 0.45 ⇒ This is the slope of the equation.