At True View Cable Company, the price of basic cable, b, is $72.08 less than twice the price of premium cable, p. The
difference between the price of premium cable and basic cable is $16.78. Which system of equations below can be used to
determine the price of basic cable and premium cable at True View Cable Company?
A.
2p+ b = 72.08
p+ b = 16.78
B.
2p+ b = 16.78
p+ b = 72.08
C.
2p-b= 16.78
pub= 72.08
D.
2p - b = 72.08
p-b= 16.78
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the correct answer is

D.

2p - b = 72.08

p-b= 16.78

Step-by-step explanation:

Let b represent the price for basic cable at True View Cable Company.

Let p represent the price for premium cable at True View Cable Company.

At True View Cable Company, the price of basic cable is $72.08 less than twice the price of premium cable. Twice the price of the premium cable is 2 × p = 2p.

This means that

b + 72.08 = 2p

2p - b = 72.08 - - - - - - - - - - - - - - - 1

The difference between the price of premium cable and basic cable is $16.78. This means that

p - b = 16.78- - - - - - - - - - - - - - - 2