The cost for operating a television varies directly as the number of hours that it is in operation. If it costs $18.00 to operate a standard-size color TV continuously for 30 days, how much would it cost to operate the TV for 9 days and 16 hours?

Respuesta :

To operate the TV for 9 days and 16 hours, it would cost $6.07.

Hope this helps!

Solution:

we are given that

The cost for operating a television varies directly as the number of hours that it is in operation.

It costs $18.00 to operate a standard-size color TV continuously for 30 days.

we have been asked to find how much would it cost to operate the TV for 9 days and 16 hours?

First convert 9 days and 16 hours in days.

9 days and 16 hours [tex] =9+\frac{16}{24}=9+ \frac{2}{3}=\frac{29}{3}days. [/tex]

Since it cost $18.00 for 30 days.

So it will cost [tex] \frac{18}{30}= \frac{9}{15}=\frac{3}{5} [/tex] $ for one day.

So for [tex] \frac{29}{3}days. [/tex] it will cost [tex] \frac{3}{5}*\frac{29}{3}=\frac{29}{5}=5.8 [/tex] $

Hence the required cost is $5.8



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