Answer :
Final answer:
To determine the cost of bananas given the equation y = 2/3x, simply multiply 2/3 by the number of pounds. For example, 5 pounds cost $3.33, and 10 pounds cost $6.67. The cost for apples or oranges cannot be determined from this equation alone.
Explanation:
When given the equation y = 2/3x, which represents the cost y (in dollars) for x pounds of bananas, we can address the following points:
- a) What is the equation for the cost of apples in terms of pounds? This cannot be determined from the given equation, as it only pertains to the cost of bananas. To find the cost of apples, you would need the price per pound specifically for apples.
- b) How much do 5 pounds of bananas cost? Plug in x = 5 to the given equation: y = 2/3(5) = 10/3. Thus, 5 pounds of bananas cost $10/3 or approximately $3.33.
- c) How much do 10 pounds of bananas cost? Plug in x = 10 to the given equation: y = 2/3(10) = 20/3. Thus, 10 pounds of bananas cost $20/3 or approximately $6.67.
- d) What is the equation for the cost of oranges in terms of pounds? Similar to apples, this cannot be determined without further information on the price per pound for oranges.
These calculations demonstrate the linear relationship between the quantity of produce and its total cost.
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