Question

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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 + 20

What does the number 5 in the equation mean in this context?


The restaurant has been open for 5 months.

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

The average number of customers per night increased by 5 each month.

There were 5 customers per night when the restaurant opened.

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

Answer 1

The correct answer choice is (c); The average number of customers per night increased by five each month.

Answer 2

Option C is correct

The average number of customers per night increased by 5 each month.

Explanation:

Slope-intercept form:

The equation of straight line is given by:

`y = mx+b`

where,

m is the slope or rate

b is the y-intercept or the initial value.

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 as:

`y = 5x+20`

where,

x represents the number of months and

y represents the average number of nightly customers

On comparing with [1] we have;

m = 5 and b = 20

⇒ The number 5 in the given equation represents:

The average number of customers per night increased by 5 each month.