3. Read the story stuation: It costs $$ \$ 88 $$ to dunp one ton of trash at the local landni. Last month, Mr. Jones dumped tons of trasi. If Mr. Jones gave the landfill attendant $$ \$ 200 $$, how much change will he rece a. Draw a bar model to represent the story situation.

Question

UpStudy AI · Accepted Answer

To create a **bar model** for the given story situation, follow these steps:

### **Understanding the Problem**

1. **Cost per Ton:** It costs \$88 to dump one ton of trash.
2. **Total Payment:** Mr. Jones gave the landfill attendant \$200.
3. **Unknowns:**
   - **Number of Tons Dumped:** Let's denote this as **$$ t $$**.
   - **Change Received:** This is what we need to find.

### **Drawing the Bar Model**

Since I can't draw directly here, I'll describe how to represent the situation using a bar model:

1. **Total Bar (Represents \$200):**
   - **Length:** Represents the total money given by Mr. Jones (\$200).

2. **First Segment (Cost of Dumping Trash):**
   - **Length:** Represents the total cost of dumping the trash, which is calculated as $$ 88 	imes t $$ dollars.
   - **Label:** "Cost of Dumping (\$88 × $$ t $$)"

3. **Second Segment (Change Received):**
   - **Length:** Represents the change Mr. Jones receives back.
   - **Label:** "Change"

### **Textual Representation**

Here's a simplified textual version of the bar model:

```
|------------------------ Total: \$200 ------------------------|
|---- Cost of Dumping (\$88 × t) ----|---- Change Received ----|
```

### **Explanation**

- **Total Amount (\$200):** This is the entire length of the bar.
- **Cost of Dumping:** A portion of the bar represents the total cost based on the number of tons dumped. For each ton, \$88 is subtracted.
- **Change Received:** The remaining portion of the bar after subtracting the cost represents the change Mr. Jones will receive.

### **Example with Specific Number of Tons**

If, for example, Mr. Jones dumped **2 tons** of trash:

1. **Cost Calculation:** $$ 88 	imes 2 = \$176 $$
2. **Change Received:** $$ 200 - 176 = \$24 $$

**Bar Model:**

```
|------------------------ Total: \$200 ------------------------|
|---- \$176 (Cost of Dumping) ----|---- \$24 (Change) ----|
```

### **Conclusion**

The bar model visually breaks down the total amount paid into the cost incurred and the change received. By adjusting the number of tons ($$ t $$), you can easily calculate and represent different scenarios.
To represent the story situation with a bar model: 1. **Total Payment:** Draw a bar representing \$200. 2. **Cost of Dumping:** Subtract the total cost (\$88 × tons dumped) from the total payment. 3. **Change Received:** The remaining part of the bar shows the change Mr. Jones gets. For example, if Mr. Jones dumped 2 tons: - **Cost:** \$176 - **Change:** \$24 So, the bar model would show \$176 subtracted from \$200, leaving \$24 as change.

Read the story stuation:
It costs to dunp one ton of trash at the local landni. Last month, Mr. Jones dumped
tons of trasi. If Mr. Jones gave the landfill attendant , how much change will he rece
a. Draw a bar model to represent the story situation.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Arithmetic Questions

Read the story stuation: It costs to dunp one ton of trash at the local landni. Last month, Mr. Jones dumped tons of trasi. If Mr. Jones gave the landfill attendant , how much change will he rece a. Draw a bar model to represent the story situation.