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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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1 answer

To interpret the slope of the line of best fit correctly, we need to understand what it represents in terms of the given table.

The slope of 1,727 means that for each additional month that passes, the number of miles on Gianna's car increases by 1,727 miles. This indicates the rate at which she is driving her car on average per month.

Now, let's analyze the options:

  • Option #1: Gianna drives 1,727 miles every 3 months.
    This is not correct because the slope refers to the change per month, not over 3 months.

  • Option #2: Gianna drives 1,727 miles every month.
    This is the correct interpretation since the slope indicates the increase in miles per month.

  • Option #3: Gianna drove 1,727 miles over 8 months.
    This is incorrect because the slope is not total miles over a period, but rather miles driven per month.

Therefore, Option #2 is the correct option.