Answer: A 16 inch pizza is $11.52
Step-by-step explanation:
$8.64 / 12 = $0.72
$0.72 x 16 = $11.52
Take the amount ($8.64) and divide it by 12 (for the 12 inch pizza) and you get $0.72 for every inch of the pizza.
Then take $0.72 and times it by 16 (for the 16 inch pizza) and you get $11.52 and there is your answer.
Direct proportionality is used here to find the cost of a 16-inch pizza. Each inch of diameter costs $0.72, so a 16-inch pizza will cost $11.52.
The cost of a pizza in this instance is directly proportional to its diameter. Whenever such a situation arises, we use the concept of 'ratios' to determine the unknown value. In this particular question, the ratio of cost to diameter is the same for both pizzas.
The pizza with a 12-inch diameter costs $8.64, implying that every inch of diameter costs $8.64/12, or $0.72. If a 16-inch pizza is bought, the cost would then be 16 * 0.72, or $11.52.
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