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 h (t)=-2t+24, as shown on the graph.

Which of the following statements is a correct interpretation of the function representing the height of the sculpture?  Select all that apply.

To interpret the function \( h(t) = -2t + 24 \), let's break it down:

- **\( h(t) \)**: Represents the height of the sculpture at time \( t \) hours after being removed from the freezer.
- **\( -2t \)**: Indicates that the height of the sculpture decreases by 2 units for every hour after it is removed.
- **\( 24 \)**: Represents the initial height of the sculpture (in the same units as the height) at the time it is removed from the freezer (i.e., when \( t = 0 \)).

### Correct Interpretations:
1. **The initial height of the sculpture is 24 units.**  
   This is correct because when \( t = 0 \), \( h(0) = -2(0) + 24 = 24 \).

2. **The sculpture's height decreases by 2 units for every hour that passes.**  
   This is correct because the slope \( -2 \) indicates that the height decreases by 2 units per hour.

### Not Correct Interpretations:
1. **The sculpture's height increases by 2 units for every hour that passes.**  
   This is incorrect because the slope is negative, meaning the height decreases, not increases.

2. **The sculpture's height decreases by 24 units every hour.**  
   This is incorrect because the height decreases by 2 units every hour, not 24.

3. **The sculpture will melt completely after 12 hours.**  
   This can be derived by solving \( h(t) = 0 \) for \( t \).  
   \[
   0 = -2t + 24 \implies 2t = 24 \implies t = 12
   \]
   So, this is correct.

### Summary of Correct Statements:
- The initial height of the sculpture is 24 units.
- The sculpture's height decreases by 2 units for every hour that passes.
- The sculpture will melt completely after 12 hours.

Would you like to go into further details or have any questions? 

Here are 5 related questions you might consider:
1. How would the function change if the sculpture melted faster?
2. What would the function look like if the initial height was 30 units instead of 24?
3. How would the function change if the sculpture was melting at a rate of 3 units per hour?
4. What happens to the sculpture's height after 6 hours?
5. How would you graph the function \( h(t) = -2t + 24 \) on a coordinate plane?

**Tip:** When interpreting a linear function, the slope represents the rate of change, while the y-intercept represents the initial value of the dependent variable.

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 h(t) = -2t + 24, as shown on the graph. Which of the following statements is a correct interpretation of the function representing the height of the sculpture? Select all that apply.

Learn how to interpret the linear function h(t) = -2t + 24 that represents the height of an ice sculpture over time. Understand the initial height, the rate of melting, and when the sculpture will melt completely. Suitable for students in Grades 6-8.

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