Question

Olivia went to a shop to buy candies for her birthday celebration. The shopkeeper sells candies which follows a certain relationship with the price as follows: No. of Candies Price ($\$$)

2	8	18
1	2	3

Determine the number of candies Olivia will purchase with $\$$5.

• A. 50

Answer 1

The correct option is A 50
Let us first try to establish a relation between the number of candies and the price of the candies.

Let the number of candies purchased be $x$ and the price of these $x$ candies be $y$.

From the table, let's plug in values and try to form a relationship equation.

$2=1\times 2=2\times 1^2$
$8=2\times 2\times 2=2\times 2^2$
$18=3\times 3\times 2=2\times 3^2$

Hence, from the above obervation, we can form the relationship: $y=2x^2$

Hence, with $\$5$, Olivia would be able to purchase $=2\times 5^2=50$ candies