Question

What is the equation of this problem? The height of a shrub when it is first planted is 1 foot, and it grows at a rate of 2 inches per year. The shrub is y inches tall after x years.

Answer 1

The equation to represent the height of the shrub in inches (y) after x years is y = 12 + 2x. This accounts for the initial 1-foot height, which is 12 inches, and adds 2 inches for each year of growth.

Step-by-step explanation:

To find the equation that represents the height of the shrub after x years, we must initially convert the starting height of the shrub from feet to inches. The shrub starts at 1 foot tall, which is equivalent to 12 inches since there are 12 inches in 1 foot. It grows at a rate of 2 inches per year. Therefore, every year (x), the shrub increases in height by 2 inches. The equation to represent the shrub's height in inches (y) after x years is:

Equation for the Shrubs Growth:

y = 12 + 2x

Where y is the height of the shrub in inches and x is the number of years since the shrub was planted.