Question

A restaurant served 27,500 customers in 2012. In 2014, the restaurant served 29,000 customers. Write a linear model that represents the number y of customers that the restaurant serves x years after 2012. Use the model to predict the number of customers that the restaurant will serve in 2020.

Answer 1

In 2012, a restaurant served 27,500 customers and in 2014, the restaurant served 29,000 customers.

First determine the increase in the number of customer served each year.

the number of customer increase in each year is,
`(29000-27500)/(2) =(1500)/(2) =750`

therefore, the linear model is;

y = 750x+ 27500 , where y represents the number of customers that the restaurant serves x years after 2012.

Now, to predict the number of customers that the restaurant will serve in 2020 is;

since, x = 2020-2012 = 8 years

`y = 750 * 8 +27500` or

`y= 6000+27500=33,500`

therefore, the number of customers that the restaurant will serve in 2020 = 33,500