Question

The time taken for the production of pizzas in a restaurantis given in the following table.
Identify the equation that represents the relationship between number of pizzas made and the time taken.

Total time taken (in hours) (x)	4	8	12	24
Number of pizzas made (y)	47	107	167	347

• A. y = 10x - 13
• B. y = 15x - 13
• C. y = 10x + 17
• D. y = 15x + 17

Answer 1

The correct option is B y = 15x - 13

Total time taken (in hours) (x)	4	8	12	24
Number of pizzas made (y)	47	107	167	347

From the table, we can observe that pizzas took different time
to get prepared.
So, every unique value of time (x) has every unique value of number of pizzas (y).
∴ The table represents a function.

Now, we can see that when x = 4, y is 47.

Substituting the values in the equation y = 15x - 13, we get:
$y=15\times 4-13=60-13=47$.
This matches the given output.

Again when x = 8, y is 107.

Substituting the values in the equation y = 15x - 13, we get:
$y=15\times 8-13=120-13=107$.
This also matches the given output.


Again when x = 12, y is 167.

Substituting the values in the equation y = 15x - 13, we get:
$y=15\times 12-13=180-13=167$.
This also matches the given output.


Again when x = 24, y is 347.

Substituting the values in the equation y = 15x - 13, we get:
$y=15\times 24-13=360-13=347$.
This also matches the given output.

Thus, putting x = 4, 8, 12 and 24 in other equations will not give the desired output.

∴ The correct equation representing the relationship in the table is y = 15x - 13