Question

Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

If a line passing through two points, then the slope of a line

$m=\frac{y_2-y_1}{x_2-x_1}$

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,

$m_A=\frac{4-2}{10-5}=\frac{2}{5}=0.4$

In option A, the Rate of change of Relationship B is,

$m_B=\frac{2.4-1.8}{4-3}=\frac{0.6}{1}=0.6$

In option B, the Rate of change of Relationship B is,

$m_B=\frac{1.2-0.9}{4-3}=\frac{0.3}{1}=0.3$

In option C, the Rate of change of Relationship B is,

$m_B=\frac{2-1.5}{4-3}=\frac{0.5}{1}=0.5$

In option D, the Rate of change of Relationship B is,

$m_B=\frac{3.6-2.7}{4-3}=\frac{0.9}{1}=0.9$

Only in option B, the Relationship B has a lesser rate than Relationship A. Therefore option B is correct.

Answer 2

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.