1. **Problem statement:**
Estimate the amount Ann will receive when exchanging money using the given graphs.
2. **Exchange rate graph (pounds vs Singapore dollars):**
The graph is linear, so we can find the exchange rate by using two points. From the description, the graph goes from (0 dollars, 0 pounds) to (240 dollars, 120 pounds).
3. **Calculate the exchange rate:**
$$\text{Exchange rate} = \frac{120 \text{ pounds}}{240 \text{ dollars}} = \frac{1}{2} \text{ pounds per dollar}$$
4. **(i) Pounds received for dollars:**
(a) For $170 dollars:
$$170 \times \frac{1}{2} = 85 \text{ pounds}$$
(b) For $50 dollars:
$$50 \times \frac{1}{2} = 25 \text{ pounds}$$
5. **(ii) Dollars received for pounds:**
Since $1 dollar = \frac{1}{2}$ pounds, then $1$ pound = $2$ dollars.
(a) For £60:
$$60 \times 2 = 120 \text{ dollars}$$
(b) For £24:
$$24 \times 2 = 48 \text{ dollars}$$
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6. **Cost graph (cost $C$ vs mass $m$):**
The graph is linear from (0 kg, $0) to (100 kg, $300).
7. **Calculate cost per kg:**
$$\text{Cost per kg} = \frac{300}{100} = 3 \text{ dollars per kg}$$
8. **(i) Cost for given mass:**
(a) For 40 kg:
$$40 \times 3 = 120 \text{ dollars}$$
(b) For 76 kg:
$$76 \times 3 = 228 \text{ dollars}$$
9. **(ii) Mass for given cost:**
(a) For $50:
$$m = \frac{50}{3} \approx 16.67 \text{ kg}$$
(b) For $260:
$$m = \frac{260}{3} \approx 86.67 \text{ kg}$$
Exchange Rate Cost 94E855
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