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Option A is correct

The restaurant has been open for 120 months.

Step-by-step explanation:

Slope-intercept form:

The equation of straight line is given by: ….

where,

m is the slope of the line

b is the initial value or y-intercept.

As per the statement:

The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened.

The equation represents the linear model for this data:- where,

y represents the number of months since a restaurant opened and

x represents the average number of nightly customers

We have to find the number 120 in the equation mean in this context.

On comparing given equation with  we have;

m = 5 and b = 120

⇒b = y(0) = 120

⇒the restaurant has been open for 120 months.

Therefore, the number 120 represents the restaurant has been open for 120 months. 