The problem gives an equation that represents the cost $c$ of hiring a caravan for $d$ days: $c = 40d + 100$. We need to plot this line on the given axes, where the x-axis represents the number of days $d$ and the y-axis represents the cost $c$ in pounds.

AlgebraLinear EquationsGraphingCoordinate GeometryWord Problem
2025/4/22

1. Problem Description

The problem gives an equation that represents the cost cc of hiring a caravan for dd days: c=40d+100c = 40d + 100. We need to plot this line on the given axes, where the x-axis represents the number of days dd and the y-axis represents the cost cc in pounds.

2. Solution Steps

To plot the line c=40d+100c = 40d + 100, we need to find at least two points that satisfy this equation.
Step 1: Find the y-intercept (when d=0d=0).
c=40(0)+100=100c = 40(0) + 100 = 100. So, the point (0,100)(0, 100) is on the line.
Step 2: Find another point. Let's choose d=5d=5.
c=40(5)+100=200+100=300c = 40(5) + 100 = 200 + 100 = 300. So, the point (5,300)(5, 300) is on the line.
Step 3: Plot the two points (0,100)(0, 100) and (5,300)(5, 300) on the graph.
Step 4: Draw a straight line through these two points. The line will represent the relationship between cc and dd.

3. Final Answer

The solution involves plotting the line c=40d+100c=40d+100 on the given axes, passing through the points (0, 100) and (5, 300). Because I am text-based I cannot plot it. The answer involves providing the graph from the steps above.

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