Question

PLEASE HELP!!!!! 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.
y = 5x + 120

What does the number 120 in the equation mean in this context?


The restaurant has been open for 120 months.

There were 120 customers per month after the restaurant was open 5 months.

The number of customers per night increases by 120 each month.

For every 5 months, the restaurant has been open, there are 120 more customers per night.

There were 120 customers per night when the restaurant opened.

On the graph, average nightly customers is the y-axis and time (months) is the x-axis. That's how it is on my end.

Answer 1

I believe A is the best choice out of the answers given above. You are right!!
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Answer 2

Answer:

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:

$y = mx+b$                 ....[1]

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:-

$y = 5x+120$

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 [1] 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.