Agardener is planting two types of trees: type a is 10 feet tall and grows at a rate of 10 inches per year. type b is 6 feet tall and grows at a rate of 16 inches per year. algebraically determine exactly how many years it will take for these trees to be the same height.

8

Step-by-step explanation:

Firstly, we want to convert all values to inches, (1 ft = 12 inches)

So,

Type A is 120 inches tall and Type B is 72 inches tall.

Now,

Type A grows at 10 inches per year and Type B grows at 16 inches per year.

Let x be the number of years passed,

so the height of Type A plants will be after x years have passed.

Similarly, Type B plants will be after x years.

Now, we can equate the two equations to find x.

Therefore, the number of years it will take for these trees to be the same height is 8.

.

step-by-step explanation:

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0