An ice sculpture is used as a centerpiece at a banquet. Once the sculpture is removed from the freezer it begins to melt. The height of the sculpture can be represented by the function

, as shown on the graph.

Which of the following statements is a correct interpretation of the function representing the height of the sculpture?
A.
The initial height of the sculpture is 2 inches.

B.
The sculpture melts 2 inches each hour.

C.
It takes 2 hours for the sculpture to melt completely.

D.
It takes the sculpture 24 hours to melt completely.

1 answer

To provide the correct interpretation of the function representing the height of the sculpture, we would need to analyze the graph you've mentioned. However, since I'm unable to see it, I can still guide you on how to interpret the options based on common characteristics of such functions.

  1. Option A: "The initial height of the sculpture is 2 inches." - This statement would be true if the height at time \( t = 0 \) (the time the sculpture is removed from the freezer) on the graph is indeed 2 inches.

  2. Option B: "The sculpture melts 2 inches each hour." - This statement would be correct if the height decreases at a steady rate of 2 inches per hour, which can be determined from the slope of the line in the graph if it's linear.

  3. Option C: "It takes 2 hours for the sculpture to melt completely." - This statement would be true if the height reaches 0 inches at \( t = 2 \) on the time axis.

  4. Option D: "It takes the sculpture 24 hours to melt completely." - This would be accurate if the height reaches 0 inches at \( t = 24 \) on the time axis.

To determine which statement is correct based on the graph:

  • Check the initial height when \( t = 0 \) for option A.
  • Check the rate of decrease in height for option B.
  • Check the time at which the height reaches 0 for options C and D.

You would choose the statement that accurately reflects the information depicted on the graph. If you can provide specific details from the graph, I’d be happy to help you interpret it further!