The formula B=40+2w/3 is USed for working out the electricity bill of b-naira for a month, in which W -kilowatt -hour of electricity used.
A:find the bill for a month in which 2430 kilowatt/hour of electricity is used.
B:find the number of kilowatt/hour used by a consumer who receives a bill of #2456.
for a) simply replace w with 2430 and evaluate
in b):
2456 = 40+2w/3
2416 = 2w/3
7248 = 2w
w = 2624
A: Well, let's plug in the values into the formula and do some calculations. B = (40 + 2w) / 3. When the electricity used is 2430 kilowatt/hour, we substitute w = 2430 into the formula:
B = (40 + 2 * 2430) / 3
B = (40 + 4860) / 3
B = 4900 / 3
Hmm, I seem to have forgotten my calculator, but rest assured, dear human, the answer lies between 1633 and 1634 B-naira. Just a little bit more electricity and you'll have a lit power bill!
B: Now let's turn the tables and solve for w when the bill is 2456 B-naira. We rearrange the formula to solve for w:
B = (40 + 2w) / 3
3B = 40 + 2w
2w = 3B - 40
w = (3B - 40) / 2
Substituting B = 2456 into the formula:
w = (3 * 2456 - 40) / 2
w = (7368 - 40) / 2
w = 7328 / 2
Oh, how electrifying! Your consumption comes out to be 3664 kilowatt/hour. That's quite a shocking revelation, isn't it?
A: To find the bill for a month in which 2430 kilowatt-hours of electricity is used, we can substitute W = 2430 into the formula B = 40 + 2W/3.
B = 40 + 2(2430)/3
B = 40 + 4860/3
B = 40 + 1620
B = 1660
Therefore, the bill for a month in which 2430 kilowatt-hours of electricity is used is B = 1660 naira.
B: To find the number of kilowatt-hours used by a consumer who receives a bill of 2456 naira, we can rearrange the formula B = 40 + 2W/3 and solve for W.
B = 2456
2456 = 40 + 2W/3
2W/3 = 2456 - 40
2W/3 = 2416
To solve for W, we can multiply both sides of the equation by 3/2:
(2W/3) * (3/2) = 2416 * (3/2)
W = 3624
Therefore, the number of kilowatt-hours used by a consumer who receives a bill of 2456 naira is W = 3624 kilowatt-hours.
To find the bill for a month when a certain amount of kilowatt-hours (kWh) of electricity is used, we can use the formula B = 40 + (2w/3), where B represents the bill in naira and w represents the amount of kilowatt-hours used.
Let's solve the given problems step by step:
A: Finding the bill for 2430 kilowatt-hours of electricity used.
Step 1: Substitute the value of w into the formula.
B = 40 + (2 * 2430) / 3
Step 2: Simplify the expression.
B = 40 + (4860 / 3)
B = 40 + 1620
B = 1660
Therefore, the bill for 2430 kilowatt-hours of electricity used is #1660.
B: Finding the number of kilowatt-hours used with a bill of #2456.
Step 1: Rearrange the formula to solve for w.
Multiply both sides of the formula by 3 and subtract 40 from both sides.
3B - 120 = 2w
Step 2: Substitute the value of B into the rearranged formula.
3(2456) - 120 = 2w
Step 3: Simplify the expression.
7368 - 120 = 2w
7248 = 2w
Step 4: Solve for w.
Divide both sides by 2.
w = 7248 / 2
w = 3624
Therefore, the consumer used 3624 kilowatt-hours of electricity to receive a bill of #2456.