Question

The relationship between the number of chocolate boxes and their cost in dollars as per the given table will be

• A. y = 45x
• B. y = 15x
• C. y = 5x

Answer 1

The correct option is B y = 15x

Here "x" represents number of chocolate boxes and "y" represents the cost.

We can observe:
Cost of 3 chocolate boxes = 45 dollars
and
Cost of 6 chocolate boxes = 90 dollars

We know,
3 $\times$ 15 = 45
and
6 $\times$ 15 = 90

∴ Every value of x is multiplied by 15 to get the corresponding value of y.


So, the equation that represents the data given in the table is y = 15x.

The constant of proportioanlity will be $\frac{y}{x}=15$.

On plotting the graph, we get:


Hence, y = 15x passes through the origin, and the unit rate is 15 dollars.