Question

PLEASE HELP

Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 40w represents the number of seeds she plants per week, where w represents the number of weeks.

Part A: Write a composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks. (4 points)

Part B: What are the units of measurement for the composite function in Part A? (2 points)

Part C: Evaluate the composite function in Part A for 35 weeks. (4 points)

Answer 1

Answer: c

Explanation:

i took the test

Answer 2

Explanation:

Part A:

To find the composite function, we need to plug in the expression for s(w) into f(s):

f(s(w)) = 2s(w) + 30

= 2(40w) + 30

= 80w + 30

Therefore, the composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks is f(s(w)) = 80w + 30.

Part B:

The units of measurement for the function f(s(w)) are the same as the units of measurement for f(s) and s(w). From the given information, we know that s(w) represents the number of seeds planted per week and f(s) represents the number of flowers bloomed based on the number of seeds planted. Thus, the units of measurement for f(s(w)) are "flowers" per week.

Part C:

To evaluate the composite function f(s(w)) for 35 weeks, we need to substitute w = 35 into the expression we found in Part A:

f(s(35)) = 80(35) + 30

= 2,830

Therefore, Lily can expect 2,830 flowers to bloom after planting 40 seeds per week for 35 weeks.