Question

A gardener is planting two types of trees. Type A is three feet tall and grows at a rate of 15 inches per year. Type B is four feet tall and grows at a rate of 10 inches per year. Write an equation that can be used to determine how many years it will take for both trees to be the same height?

Answer 1

To determine how many years it will take for both trees to be the same height, we can set up an equation and solve for 'x'. The value of 'x' represents the number of years. In this case, it will take 1/5 of a year or 2.4 months for both trees to be the same height.

Step-by-step explanation:

To determine how many years it will take for both trees to be the same height, we can set up an equation based on their growth rates and initial heights.

Let's assume it takes 'x' years for both trees to be the same height. The equation can be written as:

3 + 15x = 4 + 10x

Now, we can solve this equation to find the value of 'x'.

1. First, subtract 3 from both sides of the equation: 15x = 1 + 10x
2. Next, subtract 10x from both sides of the equation: 5x = 1
3. Finally, divide both sides of the equation by 5: x = 1/5

Therefore, it will take 1/5 of a year or 2.4 months for both trees to be the same height.