Mathematics, 16.04.2020 22:14 autumn452392

Based on the graph, which equation represents the relationship between the height of trees (y) and the amount of rainfall (x)?

A. height of trees (y) × 0.5 = amount of rainfall (x)
B. height of trees (y) = 10 + amount of rainfall (x)
C. height of trees (y) = 0.5 × amount of rainfall (x)
D. height of trees (y) = 5 × amount of rainfall (x)

Based on the graph, which equation represents the relationship between the height of trees (y) and t

Answers: 3

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Answer from: Mumi2232

Given:

Given that the graph that shows the amount of rainfall( in centimeters) and the height of the trees( in meters)

We need to determine the equation that represents the relationship between the height of trees(y) and the amount of rainfall(x).

Slope of the equation:

The slope can be determined using the formula,

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

Substituting the points (20,10) and (40, 20) in the above formula.

Thus, we get;

$m=\frac{20-10}{40-20}$

$m=\frac{10}{20}$

m=0.5

Thus, the slope of the equation is 0.5

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Thus, from the graph, when x = 0, the value of y is 0.

Hence, the y - intercept is b = 0

Equation of the graph:

The equation of the given graph can be determined using the formula,

y=mx+b

Substituting the values, we get;

y=0.5x+0

y=0.5x

Thus, the equation that represents the relationship between the height of the trees (y) and the amount of rainfall (x) is y=0.5x

Hence, Option C is the correct answer.

Answer from: taterbuglee2003

C. height of trees (y) = 0.5 × amount of rainfall (x)

Step-by-step explanation:

y - intercept = 0

Slope: (10-0)/(20-0) = ½

Answer from: Quest

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

$y\propto x$

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

Answer from: Quest

bull

step-by-step explanation:

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Based on the graph, which equation represents the relationship between the height of trees (y) and t...