Question

Which of the following equation represents the relationship between number of players and number of points they scored in a year?

• A. y = 5x
• B. y = 90x
• C. y = 10x
• D. y = 50x

Answer 1

The correct option is C y = 10x


Observing the points from the graph, we see:

x	0	10	20	30	40
y	0	100	200	300	400

$\text{A function is said to be proportional if}$
$\frac{\text{y}}{\text{x}}=\text{constant}$

From the table, we can write:
$\frac{\text{y}}{\text{x}}=\frac{100}{10}=\frac{200}{20}=\frac{300}{30}=\frac{400}{40}=10$

$\text{So, the equation representing the}$
$\text{relationship is}\text{y = 10x}$