Maths-

General

Easy

Question

# A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?

Describe the relationship between the two variables ?

Sketch the graph.

Hint:

### Notice two points i.e., ordered pairs in the figure given.

## The correct answer is: 3y – 4x = 9

### SOL – Time taken by tree to grow = x years

Height of the tree = y feet

Acc. to the question, x = 0 , y = 3 and x = 3 , y = 7

Using two – point form, the equation of the line is

(y – y_{1}) = m (x – x_{1}) where m =

Slope, m =

= =

Equation of line is (y – 3) = (x – 0)

y – 3 = x

3y – 9 = 4x

3y – 4x = 9 which is a linear function.

Hence, the two variables namely x and y have a linear relationship. In other words, it’s a straight – line relationship between the two variables.

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𝑋𝑌 = 2.1 𝑐𝑚, 𝐴𝐵 = 4 𝑐𝑚, 𝑌𝑍 = 4 𝑐𝑚, 𝑃𝑄 = 2.1 𝑐𝑚

### Identify congruent segments.

𝑋𝑌 = 2.1 𝑐𝑚, 𝐴𝐵 = 4 𝑐𝑚, 𝑌𝑍 = 4 𝑐𝑚, 𝑃𝑄 = 2.1 𝑐𝑚

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### Solve Each system : Explain your choice of Solution method

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8X - 4Y = - 4

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### Bose is practicing Javelin throws. What is the relationship between the height of the javelin and time ? What would the graph of this function look like?

H = g T2, where H is maximum height and T is time of the flight.

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H = g T2, where H is maximum height and T is time of the flight.

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