Question

Aiden is a spice trader. The price he charges for an order of cumin (in dollars) as a function of the size of the order (in kilograms) is graphed. What is the approximate average rate at which the total cost increases as the order size increases from 100 to 600 kilograms?

a) 1.50 dollars per kilogram
b) 1.80 dollars per kilogram
c) 2.10 dollars per kilogram
d) 2.40 dollars per kilogram

Answer 1

The average rate of increase in total cost is calculated as the change in cost divided by the change in kilograms; however, without specific cost values from the graph, we cannot provide a definitive answer.

Step-by-step explanation:

To calculate the average rate of increase of the total cost, we need to find the change in cost divided by the change in kilograms for the given interval from 100 to 600 kilograms. However, the provided information does not include specific cost values at 100 and 600 kilograms for Aidan's cumin prices. The relevant calculation would be similar to finding the slope of a line on a graph representing cost versus kilograms. For a hypothetical example, if the cost at 100 kilograms was $150 and at 600 kilograms was $1050, the average rate of increase would be (1050 - 150) / (600 - 100) = $900 / 500 kg = $1.80 per kilogram. Yet, without exact information, we cannot provide a definitive answer.

Given this, the student would need to look at the graph and note down the respective costs at 100 and 600 kilograms, then perform the calculation as outlined. Without exact values, answering the multiple-choice question accurately is not possible, so additional information from the graph is critical for a complete and accurate response.