The graphs below show the cost, \(\$C\), of purchasing poplin cloth of length \(x\) metres from Shops A and B respectively. It is given that the delivery fees for Shop A and Shop B are \(\$30\) and \(\$15\) respectively.
Calculate the gradient of the line representing the cost of purchasing poplin cloth from Shop A.[2]
Explain the significance of the value of the gradient calculated in part (i) based on the context of the question.[1]
Hence state the equation of the line representing the cost of purchasing poplin cloth from Shop A.[1]
Using the graphs provided, estimate the additional cost incurred if a customer purchases \(44\) metres of poplin cloth from Shop B instead of Shop A.[1]
Jesse claims that it is always cheaper to purchase poplin cloth from Shop B than from Shop A. Justify if Jesse's claim is accurate by using information from the graphs.[1]