Question

Which bush has the greater initial value?

a) Bush A
b) Bush B
c) Both have the same initial value

Which bush has a greater rate of change?
a) Bush A
b) Bush B
c) Both have the same rate of change

After 7 years, what will the height of each bush be?
a) Bush A: _______ units
Bush B: _______ units
b) Bush A: _______ units
Bush B: _______ units
c) It cannot be determined with the given information

Compare these two functions of Bush A & Bush B:
a) Bush A and Bush B have the same initial value but different rates of change.
b) Bush A and Bush B have the same rate of change but different initial values.
c) Bush A and Bush B have both the same initial value and rate of change.
d) Bush A and Bush B have different initial values and different rates of change.

Answer 1

The initial value and rate of change of the two bushes cannot be determined without additional information. The height of the bushes after 7 years also cannot be determined with the given information.

Step-by-step explanation:

The initial value of Bush A depends on the information provided. If Bush A has a greater initial value than Bush B, then the answer is Bush A. If Bush B has a greater initial value, then the answer is Bush B. If both bushes have the same initial value, then the answer is Both have the same initial value.

Similarly, the rate of change of Bush A compared to Bush B depends on the information provided. If Bush A has a greater rate of change, then the answer is Bush A. If Bush B has a greater rate of change, then the answer is Bush B. If both bushes have the same rate of change, then the answer is Both have the same rate of change

Without additional information about the growth rates of the bushes, we cannot determine the exact height of each bush after 7 years. Therefore, the answer is It cannot be determined with the given information.

Comparing the functions of Bush A and Bush B, if they have the same initial value but different rates of change, then the answer is Bush A and Bush B have the same initial value but different rates of change.