a gardener is planting two types of trees:

type a is 2 feet tall and grows at a rate of 25 inches per year.

type b is 10 feet tall and grows at a rate of 9 inches per year.

algebraically determine exactly how many years it will take for these trees to be the same height.

It will take 1/2 of a year or 6 months for these trees to be the same height.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Type A is 2 feet tall and grows at a rate of 25 inches per year.

Type B is 10 feet tall and grows at a rate of 9 inches per year.

2. Algebraically determine exactly how many years it will take for these trees to be the same height.

x = Number of years

Type A = 2 + 25x

Type B = 10 + 9x

Let's solve for x, using the following equation:

Type A =  Type B

2 + 25x = 10 + 9x

25x - 9x = 10 - 2

16x = 8

x = 8/16 = 1/2

It will take 1/2 of a year or 6 months for these trees to be the same height.

Let's prove it, this way:

2 + 25x = 10 + 9x

2 + 25 (1/2) = 10 + 9 (1/2)

2 + 25/2 = 10 + 9/2

29/2 = 29/2

14.5 = 14.5

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.