Question

A family plants two trees.

Tree A is 2 feet tall and grows 16 inches per year.
Tree B is 4 feet tall and grows 8 inches per year.
Which equation represents the year, x, when the height of the trees are the same?

A
2x+43=4x+23

B
43x+2=23x+4

C
2x+16=4x+8

D
16x+2=8x+4

Answer 1

The equation that represents the year, x, when the height of the trees are the same is 2x + 16 = 4x + 8. To solve this equation, set the heights of the two trees equal to each other and then solve for x. The solution is x = 4.

Step-by-step explanation:

The equation that represents the year, x, when the height of the trees are the same is 2x + 16 = 4x + 8.

To solve this equation, we need to set the heights of the two trees equal to each other and then solve for x. The equation represents the height of Tree A, which starts at 2 feet and grows 16 inches per year, and Tree B, which starts at 4 feet and grows 8 inches per year.

Setting the heights equal to each other, we have 2 + 16x = 4 + 8x. We can then subtract 8x from both sides and simplify to find that x = 4.