Question

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.

Answer 1

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: y = 700x + 27,000 where x is (model year - 2012). Therefore, the number of customers in the year 2020 would be: y = 700x + 27,000 y = (700 * (2020 - 2012)) + 27,000 y = (700 * 8) + 27,000 y = 5,600 * 27,000 = 32,600 customers served in 2020

Answer 2

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