The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 u

Question

2 years ago

7

nits is N 3,655 while the charge for 42 units is N 2055:
a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N

1 answer:

balandron [24] · Answer 1 · 2023-06-24T12:53:22+03:00

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

<h3>What is variation?</h3>

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

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