Question

You plant a 14-inch hemlock tree in your backyard that grows at a rate of 4 inches per year and an 8-inch blue spruce tree that grows at a rate of 6 inches per year. in how many years after you

Answer 1

To find out when the hemlock tree will be taller than the blue spruce tree, set up an equation using their growth rates and solve for x.

Step-by-step explanation:

To find out how many years it will take for the hemlock tree to be taller than the blue spruce tree, we need to set up an equation. Let x represent the number of years.

The height of the hemlock tree after x years is given by 14 + 4x, and the height of the blue spruce tree after x years is given by 8 + 6x.

We want to find the value of x when the height of the hemlock tree is greater than the height of the blue spruce tree.

So, we have the equation: 14 + 4x > 8 + 6x. To solve this equation, we need to isolate the variable x.

Subtracting 4x from both sides, we have: 14 > 8 + 2x. Subtracting 8 from both sides, we have: 6 > 2x.

Dividing both sides by 2, we have: 3 > x. This means that the height of the hemlock tree will be greater than the height of the blue spruce tree for any value of x less than 3.

However, since we're looking for a whole number of years, we need to round up to the nearest whole number. Therefore, it will take at least 4 years for the hemlock tree to be taller than the blue spruce tree.

Answer 2

Check the attached file for the answer.