D) $3.35

Option D is correct. Here is how to solve it:

To determine the price per pound of chicken, determine the value of "x" when the two prices are equal.

(Remember, "x" is the number of weeks after July 1st)

The prices were equal when b = c, so we have to set the equations equal to each other:

2.35 + 0.25x = 1.75 + 0.40x  ( Set equations equal to each other )

-->  2.35 - 1.75  =  0.40x - 0.25x   ( Move like terms based on variables )

--> 0.60 = 0.15x  ( Combine like terms )

--> x = 4  ( Divide both sides by 0.15 to isolate "x" ) 

We found that x = 4. Then, to determine the "b" value, we have to substitute 4 for "x" in the "b" equation, which would be:

b = 2.35 + 0.25x  ( Original Equation )

-->  2.35 + 0.25(4)  ( Substitute 4 for all "x" values in the Equation )

-->  2.35 + 1  ( Multiply "0.25" with "4" )

-->  3.35  ( Combine like terms)

Since our "b" value is in dollars, we will convert 3.35 to $3.35. The Price per pound of Beef, which was our "b" value, was $3.35.

The only option choice with that is Option D, making it the correct answer.

D)   ( 14 , 2 )

Option D is correct. Here is how to solve it:

In an xy-plane, all lines that pass through the Origin are of the form y = mx.

Remember, the standard form of a Linear Equation is y = mx + b.

By removing the "b" value, we don't have to worry about the y-intercept.

The Origin is the coordinate ( 0 , 0 )

Therefore, considering the only information we need is the Slope, our equation will be either:

y = (1/7)x

y = 7x

Considering this, a point with the coordinates  ( a , b )  will lie on the line if and only if  a = 7b.

( Make sure to know the rules on substituting values within equations )

Let's test all the option choices to see if they match:

Option A was  ( 0 , 7 )

0 = 7(7)

0 = 49

Option B was  ( 1 , 7 )

1 = 7(7)

1 = 49

Option C was  ( 7 , 7 )

7 = 7(7)

7 = 49

Option D was  ( 14 , 2 )

14 = 7(2)

14 = 14

Option D is the only option which provides a correct equation. Therefore, Option D is correct.