Question

Use the graph below to work out the values that complete the formula. Give any decimals in your answer to 2 d.p. cost= _x mass of coal Cost against mass of coal 400 Cost (£) 300 200- 100 0 allowed 0.5 1 1.5 2

Answer 1

Answer: lig,a

Explanation:

Answer 2

The cost of coal is given by the formula Cost = 199.96 * Mass of coal + 100.00, reflecting direct proportionality with a slope of 199.96 and a y-intercept of 100.00.

From the graph, we can see that the cost of coal is directly proportional to the mass of coal, with a constant of proportionality (slope) of 200. This means that the formula for the cost of coal is:

Cost = 200 * Mass of coal + Cost against mass of coal

The cost against mass of coal is the y-intercept of the graph, which is 100. Therefore, the complete formula is:

Cost = 200 * Mass of coal + 100

To give the answer to 2 d.p., we can round the constants to 199.96 and 100.00, respectively. Therefore, the complete formula is:

Cost = 199.96 * Mass of coal + 100.00