For a science project, Miranda will monitor the growth of two different plants, Plant 1 and Plant 2. At the start of the project plant 1 is 18 cm tall and plant 2 is 4cm tall. plant 1 is expected to grow at a rate of 3 cm a week and plant 2 is expected to grow at a rate of 5cm Part A: What is the solution to the system of equations in Miranda's graph?

Part B: What is the meaning of the solution to the system of equations in the context of Miranda's plant growth?

the answer is: the length is 5/6 yards.

give me a or a 5 star rating if this is correct!

step-by-step explanation:

it has changed from the width and the height.

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt