Answer :
To find the unit price of the turkey in the package, we need to calculate the cost per pound of the turkey. Here's the step-by-step process:
1. Convert the weight from a mixed number to an improper fraction:
The weight of the turkey package is given as [tex]\(1 \frac{1}{4}\)[/tex] pounds. We can convert this mixed number to an improper fraction to make the calculations easier.
[tex]\[ 1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \text{ pounds} \][/tex]
2. Determine the total cost of the package:
The cost of the turkey package is given as [tex]\(\$9\)[/tex].
3. Calculate the unit price:
The unit price is the cost per pound. To find this, we divide the total cost by the total weight in pounds.
[tex]\[ \text{Unit Price} = \frac{\text{Total Cost}}{\text{Weight}} = \frac{9}{\frac{5}{4}} \][/tex]
4. Simplify the division:
Dividing by a fraction is the same as multiplying by its reciprocal. Thus, we multiply 9 by the reciprocal of [tex]\(\frac{5}{4}\)[/tex], which is [tex]\(\frac{4}{5}\)[/tex].
[tex]\[ \text{Unit Price} = 9 \times \frac{4}{5} = \frac{36}{5} = 7.2 \][/tex]
Therefore, the unit price of the turkey in the package is [tex]\(\$7.20\)[/tex] per pound.
The correct answer is:
(D) \$7.20 per pound
1. Convert the weight from a mixed number to an improper fraction:
The weight of the turkey package is given as [tex]\(1 \frac{1}{4}\)[/tex] pounds. We can convert this mixed number to an improper fraction to make the calculations easier.
[tex]\[ 1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \text{ pounds} \][/tex]
2. Determine the total cost of the package:
The cost of the turkey package is given as [tex]\(\$9\)[/tex].
3. Calculate the unit price:
The unit price is the cost per pound. To find this, we divide the total cost by the total weight in pounds.
[tex]\[ \text{Unit Price} = \frac{\text{Total Cost}}{\text{Weight}} = \frac{9}{\frac{5}{4}} \][/tex]
4. Simplify the division:
Dividing by a fraction is the same as multiplying by its reciprocal. Thus, we multiply 9 by the reciprocal of [tex]\(\frac{5}{4}\)[/tex], which is [tex]\(\frac{4}{5}\)[/tex].
[tex]\[ \text{Unit Price} = 9 \times \frac{4}{5} = \frac{36}{5} = 7.2 \][/tex]
Therefore, the unit price of the turkey in the package is [tex]\(\$7.20\)[/tex] per pound.
The correct answer is:
(D) \$7.20 per pound
