Question

Zack’s Italian Pizza Bar baked 2,000 pizzas in the first year that they were open. In the second year, they baked 3,000 pizzas and in the third year 4,000 pizzas. Write a function that could model the growth of pizzas baked, where x = 0 is the first year.. Single line text.

Answer 1

We have a production of y=2,000 pizzas for the first year (x=0).

For the second year (x=1), y=3,000 and for the third year (x=2), 4,000.

We can verify if we have a constant rate of variation as:

$\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{4000-3000}{2-1}=\frac{1000}{1}=1000 \\ m=\frac{\Delta y}{\Delta x}=\frac{3000-2000}{1-0}=\frac{1000}{1}=1000 \end{gathered}$

We have a constant slope and has a value of m=1,000.

The y-intercept of this line is the value of y when x=0, and in this case, by the given information, the y-intercept is 2,000.

So the y-intercept has a value b=2,000.

The equation of the line can be written as:

$y=1000x+2000$

Answer: y=1,000x+2,000