Robert was comparing the price of chicken breast at two stores. The equation y, equals, 6, point, 2, 1, xy=6.21x represents the total cost, in dollars and cents, yy, that it costs for xx pounds of chicken breast at SuperGrocery A. At SuperGrocery B, 2 pounds of chicken breast costs $11.84. How much would you save, per pound, if you buy your chicken breast at SuperGrocery B, rather than SuperGrocery A?

Question

GPT-4o mini · Answer

To find out how much you would save per pound by buying chicken breast at SuperGrocery B instead of SuperGrocery A, we need to calculate the price per pound for both stores.

Step 1: Calculate the price per pound at SuperGrocery A using the equation.

The equation for SuperGrocery A is: \[ y = 6.21x \] To find the price per pound at SuperGrocery A, we can simply use the equation where $x = 1$:

\[ y = 6.21 \times 1 = 6.21 \]

So, the price per pound at SuperGrocery A is $6.21.

Step 2: Calculate the price per pound at SuperGrocery B.

We know that 2 pounds of chicken breast at SuperGrocery B costs $11.84. To find the price per pound, we divide the total price by the weight:

\[ \text{Price per pound} = \frac{11.84}{2} = 5.92 \]

So, the price per pound at SuperGrocery B is $5.92.

Step 3: Calculate the savings per pound.

To find out how much you would save per pound by buying at SuperGrocery B, subtract the price per pound at SuperGrocery B from the price per pound at SuperGrocery A:

\[ \text{Savings per pound} = \text{Price at A} - \text{Price at B} = 6.21 - 5.92 \]

\[ \text{Savings per pound} = 0.29 \]

Thus, you would save $0.29 per pound by buying your chicken breast at SuperGrocery B compared to SuperGrocery A.