1. The problem asks for the expected total value of donations when the charity received 60 donations, based on the given graph.
2. From the graph, the expected value of donations increases linearly from (0,0) to (20,90).
3. We can find the equation of the line using the two points: $(0,0)$ and $(20,90)$.
4. The slope $m$ is given by $$m=\frac{90-0}{20-0}=\frac{90}{20}=4.5.$$
5. Since the line passes through the origin, the equation is $$y=4.5x,$$ where $x$ is the number of donations and $y$ is the expected value.
6. For 60 donations, substitute $x=60$ into the equation:
$$y=4.5 \times 60=270.$$
7. Therefore, the expected total value of the donations in August is 270.
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1. The second graph shows cost against mass of coal, with points (0,50) and (2,400).
2. The cost increases linearly, so find the slope:
$$m=\frac{400-50}{2-0}=\frac{350}{2}=175.$$
3. The line equation is $$y=mx+c,$$ where $c$ is the y-intercept.
4. From the graph, $c=50$ (cost when mass is 0).
5. So, the cost equation is $$\text{Cost} = 175 \times \text{mass} + 50.$$
Donation Value 78939A
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