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)

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,

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

Thus, we get;

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,

Substituting the values, we get;

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

Hence, Option C is the correct answer.

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

Step-by-step explanation:

y - intercept = 0

Slope: (10-0)/(20-0) = ½

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

step-by-step explanation:

most likely the answer is a.

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