A gardener is planting two types of trees: ● Type A: Starts at 4.5 feet tall and grows 8 inches per year. ● Type B: Starts at 2 feet tall and grows 10 inches per year. Write one equation to represent the year, y, when the trees will be the same height.
Let x represent the number of years.
For tree A, the height can be represented by the equation: 4.5 + 8x
For tree B, the height can be represented by the equation: 2 + 10x
Setting these two equations equal to each other:
4.5 + 8x = 2 + 10x
Subtracting 2 from both sides:
2.5 + 8x = 10x
Subtracting 8x from both sides:
2.5 = 2x
Dividing both sides by 2:
1.25 = x
Therefore, the trees will be at the same height after 1.25 years.