These graphs show different relationships between the variables x and y - OCR - GCSE Maths - Question 9 - 2018 - Paper 6
Question 9
These graphs show different relationships between the variables x and y.
Graph A
Graph B
Graph C
Graph D
Identify the graph which shows the following.
a) y is ... show full transcript
Worked Solution & Example Answer:These graphs show different relationships between the variables x and y - OCR - GCSE Maths - Question 9 - 2018 - Paper 6
Step 1
a) y is directly proportional to x.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The graph that depicts a direct proportionality between y and x is Graph B. In a directly proportional relationship, as x increases, y increases linearly. The upward slope of Graph B indicates that y increases with x.
Step 2
b) y is inversely proportional to x.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The graph representing an inverse proportionality between y and x is Graph C. In this relationship, as x increases, y decreases, which is typically shown by a downward curve. The characteristic shape of Graph C illustrates this inverse relationship.
