Subjects algebra

Cloth Cost

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1. **State the problem:** We have data points representing lengths of cloth in metres and their costs in naira. The horizontal axis scale is 2 cm to 1 metre, and the vertical axis scale is 2 cm to 500 naira. 2. **Convert the data to coordinates for graphing:** - Lengths: 600, 1, 1, 200, 3, 1, 800, 4, 5, 6 (some values seem inconsistent, assuming the meaningful lengths are 1, 3, 4, 5, 6 metres) - Costs: corresponding costs are not explicitly given, but from the scale, we can infer cost per metre. 3. **Calculate cost per metre:** Since 2 cm corresponds to 1 metre horizontally and 2 cm corresponds to 500 naira vertically, the cost per metre is 500 naira. 4. **Calculate the cost of 3.8 metres of cloth:** $$\text{Cost} = 3.8 \times 500 = 1900$$ 5. **Calculate how much cloth can be bought for 1400 naira:** $$\text{Length} = \frac{1400}{500} = 2.8 \text{ metres}$$ 6. **Summary:** - Cost of 3.8 m cloth is 1900 naira. - For 1400 naira, you can buy 2.8 metres of cloth. These calculations assume a constant price rate of 500 naira per metre based on the scale provided.