Howard started studying how the number of branches on his tree grows over time.
The relationship between the elapsed time t, in years since Howard started studying the tree, and the
number of its branches, N(t), is modeled by the following function: N(t)=38 x (9/5) ^ t/7.3

howards tree gains 4/5 more branches every 7.3 years

Step-by-step explanation:

took one for the team

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.