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 – y1) = m (x – x1) 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.
Related Questions to study
Maths-
Identify congruent segments.
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
Maths-General
Maths-
Solve Each system : Explain your choice of Solution method
2X - 3Y = 14
5X + 4Y = 12
Solve Each system : Explain your choice of Solution method
2X - 3Y = 14
5X + 4Y = 12
Maths-General
Maths-
The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.
The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.
Maths-General
Maths-
Solve System of equations using Substitution :
Y = 2X-1
2X +3 Y = -7
Solve System of equations using Substitution :
Y = 2X-1
2X +3 Y = -7
Maths-General
Maths-
Find the distance between the coffee shop and the school.
Find the distance between the coffee shop and the school.
Maths-General
Maths-
Solve Each system : Explain your choice of Solution method
5X - 2Y = - 6
3X - 4Y = - 26
Solve Each system : Explain your choice of Solution method
5X - 2Y = - 6
3X - 4Y = - 26
Maths-General
Maths-
Solve Each system : Explain your choice of Solution method
8X - 4Y = - 4
X= Y - 4
Solve Each system : Explain your choice of Solution method
8X - 4Y = - 4
X= Y - 4
Maths-General
Maths-
Hari rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes and then continues in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Hari’s distance from home over time ?
Hari rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes and then continues in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Hari’s distance from home over time ?
Maths-General
Maths-
Solve Each system : Explain your choice of Solution method .
6X - 5Y= - 1
6X + 4Y= - 10
Solve Each system : Explain your choice of Solution method .
6X - 5Y= - 1
6X + 4Y= - 10
Maths-General
Maths-
Solve System of equations using Substitution :
X = Y + 6
X + Y = 10
Solve System of equations using Substitution :
X = Y + 6
X + Y = 10
Maths-General
Maths-
At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?
At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?
Maths-General
Maths-
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.
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?
Maths-General
H = g T2, where H is maximum height and T is time of the flight.
Maths-