Question

Genesis was comparing the price of ground beef at two stores. At SuperGrocery A, 5 pounds of ground beef costs $43.60. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of ground beef at SuperGrocery B.
SuperGrocery B
Pounds left parenthesis x right parenthesisPounds (x) Total Cost left parenthesis y right parenthesisTotal Cost (y)
22 dollar sign, 15, point, 1, 2$15.12
2, point, 52.5 dollar sign, 18, point, 9, 0$18.90
3, point, 53.5 dollar sign, 26, point, 4, 6$26.46
55 dollar sign, 37, point, 8, 0$37.80
How much would you save, per pound, if you buy your ground beef at SuperGrocery B, rather than SuperGrocery A?

Answer 1

First, we need to determine the cost per pound of ground beef at SuperGrocery A.

At SuperGrocery A:
- Cost for 5 pounds = $43.60
- Cost per pound = \( \frac{43.60}{5} = 8.72 \)

So, the cost per pound at SuperGrocery A is $8.72.

Next, we will calculate the cost per pound at SuperGrocery B using the prices from the table provided:

1. For \( x = 2 \) pounds:
- Total cost = $15.12
- Cost per pound = \( \frac{15.12}{2} = 7.56 \)

2. For \( x = 2.5 \) pounds:
- Total cost = $18.90
- Cost per pound = \( \frac{18.90}{2.5} = 7.56 \)

3. For \( x = 3.5 \) pounds:
- Total cost = $26.46
- Cost per pound = \( \frac{26.46}{3.5} \approx 7.56 \)

4. For \( x = 5 \) pounds:
- Total cost = $37.80
- Cost per pound = \( \frac{37.80}{5} = 7.56 \)

Now, we can summarize the cost per pound:
- Cost per pound at SuperGrocery A: $8.72
- Cost per pound at SuperGrocery B: $7.56

Finally, to find how much you would save per pound by buying ground beef at SuperGrocery B instead of SuperGrocery A:

\[
\text{Savings per pound} = \text{Cost per pound at SuperGrocery A} - \text{Cost per pound at SuperGrocery B} = 8.72 - 7.56 = 1.16
\]

Thus, you would save **$1.16 per pound** by buying your ground beef at SuperGrocery B rather than SuperGrocery A.