Question

Question
Use the table to answer the question.

x (Months) y (Miles on Car)
3 38,250
4 40,000
5 41,800
6 43,500
7 45,000
8 47,000
Gianna recently bought a used car. She keeps track of the number of miles she drives each month. The table displays the number of miles on her car after the given number of months. If the slope of the line of best fit is 1,727, which of the following options is the correct interpretation of the slope?

Option #1: Gianna drives 1,727 miles every 3 months.

Option #2: Gianna drives 1,727 miles every month.

Option #3: Gianna drove 1,727 miles over 8 months.

(1 point)
Option #
is the correct option.
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Answer 1

To interpret the slope of the line of best fit in the context of the provided data, we consider what the slope represents. The slope tells us the change in the dependent variable (miles on the car) for each unit change in the independent variable (months).

Given that the slope is 1,727 miles per month, this means that for every increase of 1 month, the mileage on the car increases by 1,727 miles.

Let's analyze the options:

- **Option #1**: Gianna drives 1,727 miles every 3 months. (Incorrect, since the slope indicates a monthly rate.)
- **Option #2**: Gianna drives 1,727 miles every month. (Correct, as this aligns with the interpretation of the slope being per month.)
- **Option #3**: Gianna drove 1,727 miles over 8 months. (Incorrect, as this does not accurately represent the rate indicated by the slope.)

Thus, the correct option is:

**Option #2** is the correct option.