Question

Plsssss helppppppp

Suppose the food company decides it would like to grow from the 5 stores it has now so
that it will have at least 600 stores, but no more than 800 stores 5 years from now.
1. Come up with a plan for the company to achieve this where it adds the same number
of stores each year.
2. Come up with a plan for the company to achieve this where the number of stores
multiplies by the same factor each year. (Note that you might need to round the
outcome to the nearest whole store.)

Answer 1

Answer: Plan to add the same number of stores each year:

Let x be the number of stores the company adds each year. To reach at least 600 stores and no more than 800 stores in 5 years, we need:

5x + 5(5) = 600 (minimum number of stores)

5x + 5(5) = 800 (maximum number of stores)

Solving these equations, we get:

x = 119.4

So, the company can add 119 stores each year for 5 years to reach at least 600 stores and no more than 800 stores.

Plan to multiply the number of stores by the same factor each year:

Let r be the factor by which the number of stores increases each year. To reach at least 600 stores and no more than 800 stores in 5 years, we need:

5(5) r^5 = 600 (minimum number of stores)

5(5) r^5 = 800 (maximum number of stores)

Solving these equations, we get:

r ≈ 1.63

So, the company can multiply the number of stores by about 1.63 each year for 5 years to reach at least 600 stores and no more than 800 stores (rounded to the nearest whole store). For example, starting with 5 stores, the company can have approximately 8, 13, 21, 34, and 55 stores after 1, 2, 3, 4, and 5 years, respectively.

Explanation: