Arestaurant served 25,000 customers in 2012. in 2014, the restaurant served 26,600 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.

y = 800x + 25 000; 31 400 customers

Step-by-step explanation:

A linear model has the form y = mx + b

There are two variables: the number of customers and the number of years since 2012. The number of customers depends on how long the restaurant has been operating.

m = (y₂-y₁)/(x₂ -x₁)

x₁ = 2012 – 2012 = 0; y₁ = 25 000

x₂ = 2014 – 2012 = 2; y₂ = 26 600

m = (26 600 – 25 000)/(2 - 0)

m = 1600/2

m = 800 customers/yr

The initial value (b) is the number of customers in 2012.

b = 25 000  

The linear function is

y = 800x + 25 000

Customers in 2020

x = 2020 -2012

x = 8                             Insert into the formula

y = 800×8 + 25 000

y = 6400 + 25 000

y = 31 400 customers

The restaurant will serve 31 400 customers in 2020.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0