Answer :
To find the approximate number of 50-pound bags Aarif needs for a 310 square foot concrete slab, we can analyze the given data. The table provides information for different areas and the corresponding number of bags needed.
First, we observe the data point for 280 square feet, where Aarif would need 226 bags.
Next, let's consider how many bags would be needed for 310 square feet. We can establish a relationship from the known data and apply it to this larger area size:
1. Determine the Rate of Bags per Square Foot:
- From 280 square feet, 226 bags are needed. This gives us a ratio or rate for that specific area.
- The rate = [tex]\( \text{number of bags} / \text{area} = 226 / 280 \)[/tex].
2. Calculate the Number of Bags Needed for 310 Square Feet:
- Use the rate from the 280 square foot area to estimate the bags needed for 310 square feet.
- Multiply the rate by the desired area (310 square feet) to get the estimated number of bags.
- Bags needed = Rate [tex]\(\times\)[/tex]310.
3. Interpret the Result:
- It turns out that approximately 250 bags are needed when you perform this calculation.
- Because we want the best approximation within the choices given, the closest answer to 250 bags is "B. 249 bags."
Therefore, Aarif would need approximately 249, indicated by the choice B.
First, we observe the data point for 280 square feet, where Aarif would need 226 bags.
Next, let's consider how many bags would be needed for 310 square feet. We can establish a relationship from the known data and apply it to this larger area size:
1. Determine the Rate of Bags per Square Foot:
- From 280 square feet, 226 bags are needed. This gives us a ratio or rate for that specific area.
- The rate = [tex]\( \text{number of bags} / \text{area} = 226 / 280 \)[/tex].
2. Calculate the Number of Bags Needed for 310 Square Feet:
- Use the rate from the 280 square foot area to estimate the bags needed for 310 square feet.
- Multiply the rate by the desired area (310 square feet) to get the estimated number of bags.
- Bags needed = Rate [tex]\(\times\)[/tex]310.
3. Interpret the Result:
- It turns out that approximately 250 bags are needed when you perform this calculation.
- Because we want the best approximation within the choices given, the closest answer to 250 bags is "B. 249 bags."
Therefore, Aarif would need approximately 249, indicated by the choice B.
