The problem describes the cost of hiring a canoe. There is a fixed cost of £6 and then a cost of £10 for each day the canoe is hired. a) We need to write an equation for the total cost $c$ in terms of the number of days $d$. b) We need to use the equation from part a) to calculate the cost for 1, 2, and 3 days, and fill in the values for A, B, and C in the table.

AlgebraLinear EquationsWord ProblemsModeling
2025/5/12

1. Problem Description

The problem describes the cost of hiring a canoe. There is a fixed cost of £6 and then a cost of £10 for each day the canoe is hired.
a) We need to write an equation for the total cost cc in terms of the number of days dd.
b) We need to use the equation from part a) to calculate the cost for 1, 2, and 3 days, and fill in the values for A, B, and C in the table.

2. Solution Steps

a) The total cost cc is the sum of the fixed cost and the cost per day multiplied by the number of days. The fixed cost is £6, and the cost per day is £
1

0. Therefore, the equation is:

c=6+10dc = 6 + 10d
b) We use the equation c=6+10dc = 6 + 10d to find the values for A, B, and C.
For A, the number of days d=1d = 1.
c=6+10(1)=6+10=16c = 6 + 10(1) = 6 + 10 = 16
So, A=16A = 16.
For B, the number of days d=2d = 2.
c=6+10(2)=6+20=26c = 6 + 10(2) = 6 + 20 = 26
So, B=26B = 26.
For C, the number of days d=3d = 3.
c=6+10(3)=6+30=36c = 6 + 10(3) = 6 + 30 = 36
So, C=36C = 36.

3. Final Answer

a) c=6+10dc = 6 + 10d
b) A=16A = 16, B=26B = 26, C=36C = 36

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