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

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true