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A restaurant served 27,000 customers in 2012. in 2014, the restaurant served 28,400 customers. write a linear model that represents the number yy of customers that the restaurant serves xx years after 2012. use the model to predict the number of customers that the restaurant will serve in 2020.

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Kalahira
You would first need to determine the increase in the number of customer served each year, inferred by the number of customers served in 2014 less the customers served in 2012, divided by 2 to determine single year growth. This gives us: (28,400 - 27,000) /2 = 700 There is a growth of 700 customers /year. Next, formulate the linear model with this information: yy = 700xx + 27,000 where xx is (model year - 2012). Therefore, the number of customers in the year 2020 would be: yy = 700xx + 27,000 yy = (700 * (2020 - 2012)) + 27,000 yy = (700 * 8) + 27,000 yy = 5,600 * 27,000 = 32,600 customers served in 2020

Answer:

The restaurant would serve 32,600 customers in the year 2020.

Explanation:

Given information:

Customers served in the year 2012 are 27000.

Customers served in the year 2014 are 28400.

Firstly, the increase in the number of customers served each year would be computed as:

[tex]\frac{28400}{27000} \\=700[/tex]

Hence, customers grew by 700 from the year 2012 to 2014.

The linear model for this would be developed by:

[tex]y=700+27000x[/tex]

Here, y refers to no. of customers and x is referring years after 2012.

Now, determine years after 2012:

[tex]x=2020-2012\\=8[/tex]

Finally, the number of customers that restaurant would serve in the 2020 year:

[tex]y=700*8+27000\\=32,600[/tex]

Hence, by using the linear model, the restaurant would be serving 32,600 customers in the year 2020.

For more information, refer to the link:

https://brainly.com/question/11495341?referrer=searchResults

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