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.

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.

In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).

In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).

In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).

Therefore, the relationship between x and y is given by:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Using the points (0, 2000) and (2, 4000):

$y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000$