https://file.aiquickdraw.com/mathbot/file/1726837014565t4wiq3wy.jpg

The problem involves determining the height \( h \) of a concrete block as it is being lowered by a crane. The block starts at a height of 270 feet, and the crane is lowering it at a constant rate of 2.5 feet per second. We are asked to choose the correct function that represents this situation.

### Key points:
- Initial height = 270 feet.
- The block is being lowered, meaning the height is decreasing over time.
- The rate of lowering is 2.5 feet per second.
- We are finding the height \( h \) after \( s \) seconds.

### Model the situation:
The height decreases at a rate of 2.5 feet per second, so the change in height is proportional to time, \( s \). Therefore, the formula should subtract \( 2.5s \) from the initial height of 270 feet.

Thus, the equation is:
\[
h = 270 - 2.5s
\]

### Answer:
The correct option is:
- **C) \( h = 270 - 2.5s \)**

Would you like further details or have any questions about this? Here are some related questions:

1. What would happen if the rate of lowering was doubled?
2. How would the equation change if the block were raised instead of lowered?
3. How do we know that the rate should be subtracted from the height in this case?
4. What is the height after 30 seconds if the rate remains the same?
5. How do we graph this function and what does the slope represent?

**Tip**: In word problems, always pay attention to whether the quantity is increasing or decreasing to determine the correct sign in the equation.

A concrete block is at a height of 270 feet above the ground. A crane is lowering the block at a constant rate of 2.5 feet per second. Which function can be used to determine h, the height, in feet, above the ground of the concrete block after s seconds?

Solve a real-world problem involving a concrete block being lowered by a crane at a constant rate of 2.5 feet per second. This problem demonstrates linear equations, rate of change, and algebraic modeling. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation