Photo AI
8 (a) Using the axes below, sketch a graph to represent the statement y is directly proportional to x (b) Using the axes below, sketch a graph to represent the statement y is inversely proportional to x - Edexcel - GCSE Maths - Question 9 - 2021 - Paper 3
Question 9
8 (a) Using the axes below, sketch a graph to represent the statement y is directly proportional to x (b) Using the axes below, sketch a graph to represent the sta... show full transcript
Worked Solution & Example Answer:8 (a) Using the axes below, sketch a graph to represent the statement y is directly proportional to x (b) Using the axes below, sketch a graph to represent the statement y is inversely proportional to x - Edexcel - GCSE Maths - Question 9 - 2021 - Paper 3
Step 1
Using the axes below, sketch a graph to represent the statement y is directly proportional to x
Answer
To represent the statement that is directly proportional to , we can use the equation:
where is a positive constant. The graph will be a straight line that passes through the origin (0,0) and has a positive slope. This indicates that as increases, also increases. The sketch should show a straight line starting from the origin and rising to the right.
Step 2
Using the axes below, sketch a graph to represent the statement y is inversely proportional to x
Answer
To illustrate the statement that is inversely proportional to , we use the equation:
where is a positive constant. The graph will resemble a hyperbola in the first quadrant, approaching the axes but never touching them. This visually conveys that as increases, decreases, and vice versa. The sketch should depict a curve that falls as it moves away from the y-axis, illustrating the inverse relationship.