The charge for electricity consumption,E is partly constant and partly varies as the number N of unit used.the charge for 42 unit it's is 139.20.calculate the charge per unit of electricity.
E = a + bN
so, you know that
a + 32b = 139.20
that is not enough to determine b, the rate per unit.
To calculate the charge per unit of electricity, we need to determine the constant charge (C) and the variable charge per unit (V) first.
Let's assume that the constant charge is C, and the variable charge per unit is V.
According to the given information, the charge for 42 units is 139.20, which means:
E = C + N * V
Substituting the given values, we have:
139.20 = C + 42V
Since the charge for electricity consumption is partly constant, we can also assume that the constant charge (C) applies when no units are used. Therefore, when N = 0, the charge should be equal to the constant charge.
Thus, we have:
C = 139.20 - 42V
To calculate the charge per unit of electricity, we need to divide the total charge by the total number of units used:
Charge per unit (V) = Total charge / Total units
Therefore:
V = (139.20 - 42V) / (42)
Now, let's solve this equation to find the value of V:
Multiply both sides by 42:
42V = 139.20 - 42V
Add 42V to both sides:
84V = 139.20
Divide both sides by 84:
V = 139.20 / 84
V ≈ 1.656
Therefore, the charge per unit of electricity is approximately 1.656.
To calculate the charge per unit of electricity, we need to determine the constant part of the charge and the variable part based on the given information.
Let's assume the constant part of the charge as C and the variable part as V.
From the given information, we know that the charge for 42 units is $139.20. We can set up an equation to represent this:
E = C + VN
Where E represents the total charge, C represents the constant charge, V represents the variable charge per unit, and N represents the number of units used.
Plugging in the given values:
139.20 = C + 42V
Now, if we have the value of C, we can easily calculate the charge per unit (V).
To calculate C, we can use additional information or assume a value for the constant charge. However, based on the given information, we don't have any specific data to determine the exact value of C. Therefore, we cannot calculate the charge per unit of electricity without more information.
If you have any additional information or if the problem provides data related to the constant charge, please provide it, and I'll be able to help you calculate the charge per unit.