Question

A gardener is planting two types of trees: Type A is 36 inches tall and grows at a rate of 15 inches per year. Type B is 48 inches tall and grows at a rate of 10 inches per year. a. Model the situation as a system of linear equations. Use x to represent the number of year and y to represent the height of each tree. b. Determine exactly how many years it will take for these trees to be the same height. You can check in Desmos for the answer, but you must show all algebraic work. c. What is the height of the tree at that point?​

Answer 1

Answer:

A.

type A: Y= 15x +36

type B: Y= 10x + 48

B.

15x +36= 10x+48

5x=12

x= 2.4

2.4 years

C.

72 inches