karla sings for 45 mins for y days each week. on the other days of the week, she plays piano for 1.5 hours. Write an expression for the total number of hours kara sings and plays the piano each week.

(10.5 - 0.75y) hours

Step-by-step explanation:

Number of days in 1 week = 7 .

Number of days in a week  Karla sings = y

Number of days Karla plays piano in a week  = Number of days in 1 week - Number of days in a week  Karla sings

Number of days Karla plays piano in a week  = 7 - y

In 1 day Karla sings for =  45 minutes

60 minutes = 1hour

45 minutes = 1/60 * 45 = 3/4 hours = 0.75 hours

In y days time for which Karla sings = y *0.75 hours= 0.75y hours

Time for which Karla plays piano in 1 day = 1.5 hours

Time  for which Karla plays piano in (7-y) day = 1.5*(7-y) hours

Total time in hours  for which karla sings and plays the piano each week

= 0.75y + 1.5*(7-y)

= 0.75 y + 10.5 - 1.5y

= 10.5 - 0.75y

Thus,  total number of hours karla sings and plays the piano each week is 10.5 - 0.75y hours

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