A Gardner plants two trees

Type A is 9 feet tall and grows a rate of 17 inches per year

Type b is 2 feet tall and grows a rate of 24 in per year

Algebraically determine exactly how many years it will take for these trees to be the same height

Step-by-step explanation:

before we make out equation, we have to turn our tree heights into inches.

1 ft = 12 inches

9 ft = (9 * 12) = 108 inches

2 ft = (2 * 12) = 24 inches

let x represent number of years

Type A:

108 + 17x

Type B:

24 + 24x

now it wants to know how many years till there the same height ... when they will be equal ... so set them equal and solve for x

108 + 17x = 24 + 24x

108 - 24 = 24x - 17x

84 = 7x

84/7 = x

12 = x

so they will be the same height in 12 years <===