Answer:
y = 3x - 2
Step-by-step explanation:
The number beside the x is the slope. The number at the end of the equation is the y-intercept.
All the answers are in this form:
y = mx + b
m is the slope.
b is the y-intercept.
With a 3 filled in for slope and -2 filled in for the y-intercept, you get:
y = 3x + -2
is the same as,
y = 3x - 2
The equation to use here is 3^x = 81. You could start to try numbers, and you would realize that x = 4 weeks.
Answer:
Grows, Factor of 2
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:

For illustration, let us take the growth for the first three years after he started studying the number of branches.

We notice that for each subsequent year, the number of branches doubles.
Therefore:
Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>
It would be approximately <span>2,719,980,000 beats in their entire lifetime.</span>