Abedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cost to carpet the room and closet..

First of all, I must assume that the correct cost for carpet is $4.25 per square foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = $1,028.50 plus pad and installation.

You know what ?  I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's awfully expensive carpet.
I suspect the actual price is $4.25 per square yard.  That's pretty cheap, but 
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !) 

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = $114.75 plus pad and installation.  That sounds cheap but better.