1. The problem states the total cost $c$ in pence for $n$ units of electricity is given by the formula:
$$c = 17n + 12$$
where $c$ is the total cost and $n$ is the number of units.
2. This is a linear equation representing a straight line where:
- The slope (rate per unit) is 17 pence per unit.
- The fixed cost (standing charge) is 12 pence.
3. To find the total cost for any number of units, substitute the value of $n$ into the formula and calculate $c$.
4. For example, if $n=5$ units:
$$c = 17 \times 5 + 12 = 85 + 12 = 97$$
So, the total cost is 97 pence.
5. This formula can be graphed as a line with intercept 12 on the $c$-axis and slope 17, showing how cost increases with units used.
Final answer: The total cost $c$ for $n$ units is given by $$c = 17n + 12$$.
Electricity Cost 97Ce10
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