Answer:
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 <em>number of customers</em> and the <em>number of years since 2012</em>. 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
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<em>Customers in 2020
</em>
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.
