Question

2 Cecelia planted two bushes at the same time and measured their heights over several years. She represented each bush's growth as shown. Bush A: y Bush B: Had a height of 7.5 in. when planted; Grew at a constant rate of 2.5 in. per year 36 32 28 24 Bush Height (in.) 20 16 12 8 4 0 1 2 3 4 5 6 7 8 9 10 Years Since Planted Which of the following statements are true? Choose all that apply. А Bush A has a greater rate of change than Bush B. B Bush B has an initial value less than the initial value of Bush A. C After 7 years, Bush B was 1 inch taller than Bush A. D Bush B grows at a slower rate than Bush A. E Bush A and Bush B were the same height when planted. Curriculum Associates, LLC Copying permitted for classroom use. Grade & Lesson 7 Compare Functions Daa​

Answer 1

Without specific data for Bush A, we cannot confirm any of the provided statements. To analyze the growth rates and compare initial values, we would need detailed growth information for both bushes, which is not provided in the scenario.

Step-by-step explanation:

The question asks us to evaluate which statements are true regarding the growth of two bushes, A and B, based on the data provided. Bush B was planted with an initial height of 7.5 inches and grows at a constant rate of 2.5 inches per year. This is a linear relationship, where the height increases uniformly over time. We do not have specific data for Bush A, but we can analyze the given statements using the information about linear growth rates and initial values. Graphs are instrumental in presenting numerical patterns and making comparisons between different data sets, as in this case with Bush A and Bush B.

• Bush A has a greater rate of change than Bush B: Without the specific growth rate of Bush A, we cannot confirm this statement.
• Bush B has an initial value less than the initial value of Bush A: Since we only know Bush B's initial height, we cannot compare it to Bush A without additional information.
• After 7 years, Bush B was 1 inch taller than Bush A: We need Bush A's specific heights at each year to confirm this statement.
• Bush B grows at a slower rate than Bush A: Without knowing Bush A's growth rate, this statement cannot be confirmed.
• Bush A and Bush B were the same height when planted: This statement cannot be confirmed without Bush A's initial height.