Answer :
To find the correct formula for calculating the total cost of the cookies, let's look at each option and use the given costs for the cookies:
1. Chocolate chip cookies cost [tex]$1.50 per dozen.
2. Lemon frosteds cost $[/tex]1.00 per dozen.
Let [tex]\( c \)[/tex] represent the number of dozens of chocolate chip cookies, and [tex]\( L \)[/tex] represent the number of dozens of lemon frosteds. The total charge is denoted by [tex]\( T \)[/tex].
We'll analyze each formula to find the correct one:
1. Option 1: [tex]\( T = 150c + 100L \)[/tex]
- Here, 150 and 100 seem to be incorrect values. These numbers suggest that chocolate chip cookies cost [tex]$150 per dozen and lemon frosteds $[/tex]100 per dozen, which is not correct according to our stated costs.
2. Option 2: [tex]\( T = 2.50(L + c) \)[/tex]
- This formula implies that both types of cookies together cost [tex]$2.50 per dozen, regardless of the type. Since the individual prices are $[/tex]1.50 and [tex]$1.00, this option mixes up the actual prices and doesn't conform to the proper pricing for each type of cookie.
3. Option 3: \( T = 1.50c + 1.00L \)
- This formula accurately reflects the cost structure: $[/tex]1.50 per dozen for chocolate chip cookies and [tex]$1.00 per dozen for lemon frosted cookies. This matches the given costs, accurately summing the charges based on the number of dozens for each type.
Thus, the correct formula that represents the total cost is:
\[ T = 1.50c + 1.00L \]
This formula correctly uses the prices of $[/tex]1.50 per dozen for chocolate chip and $1.00 per dozen for lemon frosteds, implying that the total cost depends linearly on the quantity of each type of cookie purchased.
1. Chocolate chip cookies cost [tex]$1.50 per dozen.
2. Lemon frosteds cost $[/tex]1.00 per dozen.
Let [tex]\( c \)[/tex] represent the number of dozens of chocolate chip cookies, and [tex]\( L \)[/tex] represent the number of dozens of lemon frosteds. The total charge is denoted by [tex]\( T \)[/tex].
We'll analyze each formula to find the correct one:
1. Option 1: [tex]\( T = 150c + 100L \)[/tex]
- Here, 150 and 100 seem to be incorrect values. These numbers suggest that chocolate chip cookies cost [tex]$150 per dozen and lemon frosteds $[/tex]100 per dozen, which is not correct according to our stated costs.
2. Option 2: [tex]\( T = 2.50(L + c) \)[/tex]
- This formula implies that both types of cookies together cost [tex]$2.50 per dozen, regardless of the type. Since the individual prices are $[/tex]1.50 and [tex]$1.00, this option mixes up the actual prices and doesn't conform to the proper pricing for each type of cookie.
3. Option 3: \( T = 1.50c + 1.00L \)
- This formula accurately reflects the cost structure: $[/tex]1.50 per dozen for chocolate chip cookies and [tex]$1.00 per dozen for lemon frosted cookies. This matches the given costs, accurately summing the charges based on the number of dozens for each type.
Thus, the correct formula that represents the total cost is:
\[ T = 1.50c + 1.00L \]
This formula correctly uses the prices of $[/tex]1.50 per dozen for chocolate chip and $1.00 per dozen for lemon frosteds, implying that the total cost depends linearly on the quantity of each type of cookie purchased.
