When Joseph moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 16 inches tall and Tree B was 37 inches tall. Each year
thereafter, Tree A grew by 6 inches per year and Tree B grew by 3 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Write an equation for each situation, in
terms of t, and determine the interval of time, t, when Tree A is taller than Tree B.
A = 6t + 16
B
3t + 37
w
Tree A is taller than Tree B when t
inches per year y

answer: h

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17