4.

 
An acorn is falling from 13 feet in the air. If it descends 4.8 feet every second, write and solve and equation to determine how long it will take for the acorn to be 1 foot above the ground. Use x for the variable.

Equation: 

 seconds in decimal.


To determine how long it will take for the acorn to be 1 foot above the ground, we can set up an equation.

### Given:
- Initial height of the acorn: \( 13 \) feet
- Rate of descent: \( 4.8 \) feet per second
- Desired height above the ground: \( 1 \) foot

### Let \( x \) represent the number of seconds it takes for the acorn to reach 1 foot above the ground.

### Equation:
The height of the acorn after \( x \) seconds can be expressed as:
\[
\text{Initial height} - (\text{Rate of descent} \times \text{Time}) = \text{Desired height}
\]

Substituting the given values:
\[
13 - 4.8x = 1
\]

### Solving the equation:
\[
13 - 4.8x = 1
\]
\[
13 - 1 = 4.8x
\]
\[
12 = 4.8x
\]
\[
x = \frac{12}{4.8}
\]
\[
x = 2.5 \text{ seconds}
\]

### Final Answer:
It will take \( 2.5 \) seconds for the acorn to be 1 foot above the ground.

Would you like more details or have any other questions?

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**Related Questions:**
1. How long will it take for the acorn to reach the ground?
2. What if the rate of descent was 6 feet per second? How would that change the time?
3. How far will the acorn have fallen after 1 second?
4. What would the equation be if the initial height was 20 feet instead of 13 feet?
5. How would the problem change if the acorn started at a height of 10 feet?

**Tip:** When solving linear equations, isolate the variable step by step to simplify the problem.

An acorn is falling from 13 feet in the air. If it descends 4.8 feet every second, write and solve an equation to determine how long it will take for the acorn to be 1 foot above the ground. Use x for the variable.

Learn how to solve a real-world linear equation involving an acorn falling from 13 feet in the air. This problem uses key algebraic concepts such as rate of change and solving for time, making it suitable for students in Grades 6-8.

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