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2.1.1
Write an
in 2022.
equation to calculate the cost in Rands of consuming between 0-50 kWh of units
(2)


Sagot :

To calculate the cost in Rands of consuming between 0-50 kWh of electricity, we can define a piecewise linear function. This function will take into account the cost per kWh within the specified range.

Let's consider:
- [tex]\( kWh\_consumed \)[/tex] as the number of kilowatt-hours consumed.
- Given the cost per kWh is R0.96 for the first 0-50 kWh range.

We can define the cost function [tex]\( C(kWh\_consumed) \)[/tex] as follows:

[tex]\[ C(kWh\_consumed) = \begin{cases} 0.96 \times kWh\_consumed & \text{if } 0 \leq kWh\_consumed \leq 50 \end{cases} \][/tex]

This piecewise equation states that if the number of kilowatt-hours consumed is between 0 and 50, the total cost is calculated by multiplying the consumed kilowatt-hours ([tex]\( kWh\_consumed \)[/tex]) by 0.96 (Rands).

Thus, the equation to calculate the cost in Rands for consuming between 0-50 kWh of units is:
[tex]\[ C(kWh\_consumed) = 0.96 \times kWh\_consumed \quad \text{for } 0 \leq kWh\_consumed \leq 50 \][/tex]