Question

the scatter plot below shows the lowest - priced fares for flights from baltimore to various destinations. a line of best fit has been graphed. lowest - priced fares from baltimore the equation for this line of best fit is shown below, where d is the distance in miles and f is the fare in dollars. f = 0.1d + 100 which of these is a correct interpretation of the slope of this line? the fare increases $100 for every additional 0.1 mile. the fare increases $0.10 for every additional 100 miles

Explanation:

Step1: Recall the slope - intercept form of a line

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(f=0.1d + 100\), \(m = 0.1\) (the coefficient of \(d\)) and \(b = 100\).

Step2: Interpret the slope in the context of the problem

The slope \(m=\frac{\Delta f}{\Delta d}\). Here, \(m = 0.1=\frac{0.1}{1}\). This means that for every unit increase in \(d\) (distance in miles), \(f\) (fare in dollars) increases by \(0.1\). In other words, the fare increases by \(0.1\) dollars (or \(10\) cents) for every additional mile.

Answer:

The fare increases \(\$0.10\) for every additional mile.