Answer:
D. 3.35
Step-by-step explanation:
First we need to form an equation and solve it to find the number of weeks when the prices were the same. Because the prices were the same we can say that b = c, and therefore form the equation:
2.35 + 0.25x = 1.75 + 0.4x - Now we nee to solve it and find x.
2.35 - 1.75 = 0.4x - 0.25x
0.6 = 0.15x
x = 0.6 ÷ 0.15
x = 4 weeks
So now we substitute x into the equation for beef and find the price.
b = 2.35 + (0.25 × 4)
b = 2.35 + 1
b = $3.35 per pound
The price per pound of beef when it was equal to the price of chicken is $3.35 per pound.
The prices of beef and chicken are represented by the following linear equations :
Price of beef, B :
B = 2.35 + 0.25x
Price of chicken, C :
C = 1.75 + 0.40x
Where x in both equations represents x weeks after July 1 of last summer :
Firstly :
We find the week in which the price of beef and chicken are the same :
Beef = Chicken
2.35 + 0.25x = 1.75 + 0.40x
We solve for x
2.35 - 1.75 = 0.40x - 0.25x
0.60 = 0.15x
x = 0.60 / 0.15
x = 4
Therefore, 4 weeks after July 1 of last summer, the price of beef and chicken were the same.
Therefore, the price per pound of beef in the 4th week is :
B = 2.35 + 0.25(4)
B = 2.35 + 1
B = 3.35
The price per pound of beef when it was equal to the price of chicken is $3.35 per pound.
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