Question

Find the cost at 7 1/2 per kw-hr: Sept.1: 12,725 kw-hr Oct. 1: 13,814 kw-hr Electric Bill: June1: 21,416 kw-hr July 1: 23,006 kw-hr Electric Bill: Nov. 1: 8,316 kw-hr Dec. 1: 9,255 kw-hr Electric Bill:

Answer 1

the tocal cost of the electric bill from Sep1 to Oct is $8167.5

Step-by-step explanation

Step 1

find the consumption of the month by obtaining the difference of the registered data

from Sept 1 to Oct 1

`\begin{gathered} 13,814kw-hr-12,725kw-hr=\text{comsuption}(C) \\ 1,089\text{ }kw-hr=C \end{gathered}`

Step 2

now to know the total cost of the electric bill for that month, we need to use the expression

`\text{total cost= unit cost}\cdot\text{ number of(kw-hr)}`

then, let

`\begin{gathered} \text{unit cost = 7 }(1)/(2)=7.5=7.5\frac{\text{ \$}}{kw-h} \\ total\text{ (kw-hr)=1,089 (kw-h)} \\ \end{gathered}`

replace

`\begin{gathered} \text{total cost= unit cost}\cdot\text{ number of(kw-hr)} \\ total\cos t=7.5\frac{\text{ \$}}{\text{kwh}}\cdot1.089)\text{kwh)} \\ total\cos t=8167.5 \end{gathered}`

therefore, the tocal cost of the electric bill from Sep1 to Oct is $8167.5

Step 3

Now, do the same for the other monts

`\begin{gathered} \text{June} \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7.5\frac{\text{ \$}}{\text{kwh}}\cdot\text{difference} \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7.5\frac{\text{ \$}}{\text{kwh}}\cdot(23006-21416) \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7.5\frac{\text{ \$}}{\text{kwh}}\cdot(159) \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=11925 \end{gathered}`

June Electric bill: $11925

`\begin{gathered} \text{November} \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7.5\frac{\text{ \$}}{\text{kwh}}\cdot\text{difference} \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7.5\frac{\text{ \$}}{\text{kwh}}\cdot(9255-8316) \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7.5\frac{\text{ \$}}{\text{kwh}}\cdot9255-8316) \\ \text{total cost= unit cost}\cdot\text{ number of(kw-hr)}=7042.5 \end{gathered}`

November electric bill: $7042.5

I hope this helps you