Question

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 5 in the equation mean in this context?


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.

The restaurant has been open for 5 months.

There were 5 customers per month after the restaurant was open 120 months.https://static.k12.com/nextgen_media/assets/8085332-NG_IMC_L_02_08_Quiz_03.png.jpg

Answer 1

E)There were 120 coustomers per night when the restaurant opened.

Answer 2

Answer:

The correct option is (A) The restaurant has been open for 120 months.

Step-by-step explanation:

A scatter plot exists as a graph where each value in the information collection is symbolized by a dot. ..

Step 1

Use Slope-intercept form:

The equation of the straight line is provided by:

$y=m x+b$  ...... (1)

m stands the slope of the line

b stands for the initial value or y-intercept.

As per the information:

The scatter plot displays the association between the average number of nightly consumers and the number of months since a restaurant opened.

The equation describes the linear standard for these details:-

$y=5 x+120$

Where,

y denotes the number of months since a restaurant opened and,

x denotes the average number of nightly customers.

Step 2

We have to discover the number 120 in the equation indicate in this context.

On analogizing provided equation with [1] we have;

$m=5$ and

$b=120$

⇒$b=y(0)$

$=120$.

Thus, the number 120 symbolizes (A) the restaurant that has been open for 120 months.

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