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?
First, we need to find out the cost per pound of chicken breast at SuperGrocery B. We know that 2 pounds of chicken breast at SuperGrocery B costs $11.84. To find the cost per pound, we divide the total cost by the number of pounds:
Cost per pound at SuperGrocery B = Total cost / Number of pounds
Cost per pound at SuperGrocery B = $11.84 / 2
Cost per pound at SuperGrocery B = $5.92
Now we know the cost per pound at SuperGrocery A from the equation is $6.21.
To find out how much you would save per pound by buying at SuperGrocery B rather than SuperGrocery A, just subtract the cost per pound at Store B from the cost per pound at Store A:
Savings per pound = Cost per pound at Store A - Cost per pound at Store B
Savings per pound = $6.21 - $5.92
Savings per pound = $0.29
So, you would save $0.29 per pound if you buy your chicken breast at SuperGrocery B.
Lamonte was comparing the price of grapefruit juice at two stores. The equation y, equals, 1, point, 7, 5, xy=1.75x represents what Lamonte would pay in dollars and cents, yy, for xx bottles of grapefruit juice at store A. Lamonte can buy 17 bottles of grapefruit juice at Store B for a total cost of $36.38.
How much less is a bottle of grapefruit juice at Store A than at Store B?
To determine how much less a bottle of grapefruit juice costs at Store A compared to Store B, we first need to know the price per bottle at each store.
We have the following information:
1. At Store A, the price per bottle of grapefruit juice is given by the equation \( y = 1.75x \), which means each bottle costs $1.75 since \( y \) represents the total cost for \( x \) bottles.
2. At Store B, 17 bottles of grapefruit juice cost $36.38 in total. To find the price per bottle at Store B, we divide the total cost by the number of bottles:
Price per bottle at Store B = Total cost / Number of bottles
Price per bottle at Store B = $36.38 / 17
Price per bottle at Store B = $2.14 (rounded to two decimal places)
Now, we can compare the prices per bottle at the two stores:
Cost difference = Price per bottle at Store B - Price per bottle at Store A
Cost difference = $2.14 - $1.75
Cost difference = $0.39
Therefore, a bottle of grapefruit juice is $0.39 less at Store A than at Store B.
To find the amount you would save per pound by buying chicken breast at SuperGrocery B instead of SuperGrocery A, we first need to determine the cost per pound at each store.
Let's start with SuperGrocery A, where we have the equation y = 6.21x representing the total cost, in dollars and cents, for x pounds of chicken breast.
We need to find the cost per pound, so we can divide the total cost y by the number of pounds x:
Cost per pound at SuperGrocery A = y/x = 6.21
Therefore, the cost per pound at SuperGrocery A is $6.21.
For SuperGrocery B, we are given that 2 pounds of chicken breast costs $11.84. So, we can find the cost per pound at SuperGrocery B by dividing the total cost by the number of pounds:
Cost per pound at SuperGrocery B = $11.84 / 2 pounds
Therefore, the cost per pound at SuperGrocery B is $5.92.
Now, to find how much you would save per pound by buying from SuperGrocery B instead of SuperGrocery A, we subtract the cost per pound at SuperGrocery B from the cost per pound at SuperGrocery A:
Saving per pound = Cost per pound at SuperGrocery A - Cost per pound at SuperGrocery B
Saving per pound = $6.21 - $5.92
Therefore, you would save $0.29 per pound by buying chicken breast at SuperGrocery B instead of SuperGrocery A.