Question

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?



A.
The fare increases $10 for every additional mile

B.
The fare increases $0.10 for every additional 100 miles

C.
The fare increase $0.10 for every additional mile

Answer 1

C

Explanation:

the .1 is how much it increases per mile

so .10 a mile increase

Answer 2

The correct interpretation is that the fare increases $0.10 for every additional mile. The correct answer is option C.

The equation of the line of best fit is f = 0.1d + 100, where d represents the distance in miles and f represents the fare in dollars.

To interpret the slope of this line, we look at the coefficient of d, which is 0.1.

Option A states that the fare increases $10 for every additional mile. However, this is not correct because the coefficient of d is 0.1, not 10.

Option B states that the fare increases $0.10 for every additional 100 miles. This is also not correct because the coefficient of d is 0.1, not 0.10.

Option C states that the fare increases $0.10 for every additional mile. This is the correct interpretation of the slope of this line.

In this equation, the slope (0.1) represents the rate of change in fare with respect to distance. Since the coefficient of d is 0.1, it means that for every additional mile, the fare increases by $0.10.

For example, if the distance is increased by 1 mile, the fare would increase by $0.10. If the distance is increased by 10 miles, the fare would increase by $1.00.

So, the correct interpretation is that the fare increases $0.10 for every additional mile.

Therefore the correct answer is option C.