Table B could represent Relationship B
Time (weeks) 3 4 6 9
Plant growth (in.) 0.9 1.2 1.8 2.7
The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
Answer:
The correct option is B.
Step-by-step explanation:
If a line passing through two points, then the slope of a line
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the in Relationship A, the line passing through the points (5, 2) and (10, 4). Rate of change of Relationship A is,
[tex]m_A=\frac{4-2}{10-5}=\frac{2}{5}=0.4[/tex]
In option A, the Rate of change of Relationship B is,
[tex]m_B=\frac{2.4-1.8}{4-3}=\frac{0.6}{1}=0.6[/tex]
In option B, the Rate of change of Relationship B is,
[tex]m_B=\frac{1.2-0.9}{4-3}=\frac{0.3}{1}=0.3[/tex]
In option C, the Rate of change of Relationship B is,
[tex]m_B=\frac{2-1.5}{4-3}=\frac{0.5}{1}=0.5[/tex]
In option D, the Rate of change of Relationship B is,
[tex]m_B=\frac{3.6-2.7}{4-3}=\frac{0.9}{1}=0.9[/tex]
Only in option B, the Relationship B has a lesser rate than Relationship A. Therefore option B is correct.
