ShmoopTube

00:00

Thank you We sneak in and here's your shmoop du

00:05

jour brought to you by electricity Say what Kristoff paise

00:12

fifteen cents per kilowatt hour for electricity which means that

00:15

he pays fifteen cents per hour to run an appliance

00:17

rated at one kilowatt His air conditioner is on constantly

00:22

which cost him five dollars and forty cents a day

00:25

Her stuff also has an electric oven I'm using his

00:28

oven for an hour and a half cost forty five

00:31

cents Chris stops oven is rated at blank kilowatts more

00:35

than his air conditioner Yeah all right Well is there

00:39

anything less fun than dealing with utility bills Don't say

00:42

taking the g e d all right so poor christoph

00:46

is getting slapped around by the power company What else

00:48

is we've all been there Fifteen cents per kilowatt hour

00:51

for electric which were told means that he pays fifteen

00:54

cents to run a one kilowatt appliance for one hour

00:58

Well running the cost him five dollars and forty cents

01:01

each day and using the oven cost in forty five

01:04

cents each hour and a half And we need to

01:07

know how the oven is rated compared to the a

01:10

c okay well let's roll up our sleeves and be

01:12

prepared to get dirty if we call p the power

01:15

rating of an appliance and see the cost of running

01:17

it for each hours than the product p age would

01:21

be the kilowatt hours used by running an appliance rated

01:24

at p for h hour here we've got all that

01:27

very clever people Each kilowatt hour cost fifteen cents so

01:32

we multiply ph by point one five to get our

01:35

cost or c so c equals point one Five p

01:39

h well to compare the ratings of crystals to appliances

01:43

will first need to find the rating of the a

01:45

c that's p a c and the rating of the

01:48

oven he oh separately for the a c we're told

01:52

that five dollars and forty cents or five point four

01:54

equals point one five times p a c times twenty

01:58

four a number of hours in a day So by

02:00

dividing to get the rating by itself we get p

02:04

a c equals five point four divided by point one

02:07

five times twenty four for a total of one point

02:10

five kilowatt Then we could do the same deal for

02:13

the oven point four five equals point one five times

02:18

p o times one point five the number of hours

02:22

christoph is using it Well this gives us a point

02:26

Four five divided by point one five times one point

02:28

five for a total of two kilowatt phil comparing apples

02:32

to apples This case kilowatt kilowatt looks like the oven

02:36

is rated at two minus one point five four point

02:41

five kilowatts more than the a c and that's Our

02:44

final answer Hopefully this problem helped catch you up on 00:02:47.313 --> [endTime] current events

Full Transcript