1. **Complete the table for the first set:**
Given the y-value is constant at 3 for all x-values 2, 4, 6, 8, 10.
2. **Complete the table for the second set:**
Given the y-value is constant at 2 for all x-values 1, 2, 3, 4, 5.
3. **Fertilizer cost problem:**
a. Complete the table:
- Given: 10 bags cost 140.
- For 30 bags: Since 30 is 3 times 10, cost is $140 \times 3 = 420$ (not 280 as given, so we correct it).
- For 40 bags: 40 is 4 times 10, cost is $140 \times 4 = 560$ (not 840 as given, so we correct it).
- For 6 bags: Since 6 is 0.6 times 10, cost is $140 \times 0.6 = 84$.
b. Cost for 50 bags:
- 50 is 5 times 10, so cost is $140 \times 5 = 700$.
4. **Car gas usage problem:**
a. Complete the table:
- Given: 5 gallons for 120 miles.
- For 20 gallons: 20 is 4 times 5, so distance is $120 \times 4 = 480$ miles (not 360 as given, so we correct it).
b. Gallons for 600 miles:
- Use ratio: $\frac{5}{120} = \frac{gallons}{600}$.
- Cross multiply: $5 \times 600 = 120 \times gallons$.
- Simplify: $3000 = 120 \times gallons$.
- Divide both sides by 120:
$$ gallons = \frac{3000}{120} $$
$$ gallons = \cancel{\frac{3000}{\cancel{120}}} = 25 $$
c. Distance for 30 gallons:
- Use ratio: $\frac{5}{120} = \frac{30}{distance}$.
- Cross multiply: $5 \times distance = 120 \times 30$.
- Simplify: $5 \times distance = 3600$.
- Divide both sides by 5:
$$ distance = \frac{3600}{5} $$
$$ distance = \cancel{\frac{3600}{\cancel{5}}} = 720 $$ miles.
**Final answers:**
- Fertilizer cost for 50 bags is 700.
- Car uses 25 gallons for 600 miles.
- Car can travel 720 miles with 30 gallons.
Tables Ratios 810526
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