The table below shows the data collected on the number of car washes, y, each day since the auto spa opened, x. days since auto spa opened 0 20 40 60 80 100 number of car washes 29 35 18 31 28 14 the owner of the new auto spa created a line of best fit for the data that can be modeled by the following equation. y = -0.12x + 31.76 match the slope and y-intercept with the correct description for the given situation. titles the number of cars washes on the day the auto spa opened the ratio of car washes to the number of days since the auto spa opened the number of car washes the total number of days since the auto spa opened the ratio in the number of days since the auto spa opened to the total profit pair y-intercept slope

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Explanation:
This line of best fit is in slope intercept form: y=mx+b, where m is the slope and b is the y-intercept.

In this equation, m corresponds with -0.12 and b corresponds with 31.76.

The slope is the ratio of change in y to change in x. The y-coordinate of each point represents the number of car washes and the x-coordinate represents the number of days since Auto Spa opened; the ratio of change in y to change in x is then the ratio of the number of car washes to the number of days since Auto Spa opened.

The y-intercept is the point where the data crosses the y-axis; at this point, and all on the y-axis, the x-coordinate is 0. In this problem, the x is the number of days since Auto Spa opened; if it is 0, this means 0 days since it opened, which would be its opening day. Thus the y-intercept is the number of car washes on opening day.

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