A baker is calculating the charge for two types of cookies. What formula tells the cost, in dollars, if chocolate chip cookies are [tex]$\$1.50[/tex] per dozen and lemon frosteds are [tex][tex]$\$[/tex]1.00[/tex] per dozen?

Let [tex]c[/tex] be the number of dozens of chocolate chip cookies, [tex]L[/tex] be the number of dozens of lemon frosteds, and [tex]T[/tex] be the total charge.

Click on the correct answer.

A. [tex]T = 1.50c + 1.00L[/tex]
B. [tex]T = 1.00c + 1.50L[/tex]
C. [tex]T = 150c + 100L[/tex]

To determine the total cost [tex]$ T $[/tex] of purchasing dozens of chocolate chip cookies and lemon frosted cookies, you need to consider the individual costs of each type of cookie and how many dozens of each type are being bought.

Given:
- The cost of chocolate chip cookies is [tex]$1.50 per dozen.
- The cost of lemon frosted cookies is $[/tex]1.00 per dozen.
- [tex]$ c $[/tex] is the number of dozens of chocolate chip cookies.
- [tex]$ L $[/tex] is the number of dozens of lemon frosted cookies.

To find the total cost [tex]$ T $[/tex]:
1. Multiply the number of dozens of chocolate chip cookies [tex]$ c $[/tex] by the cost per dozen, which is [tex]$1.50. This gives the cost for the chocolate chip cookies: $ 1.50 \times c $.
2. Multiply the number of dozens of lemon frosted cookies $ L $ by the cost per dozen, which is $[/tex]1.00. This gives the cost for the lemon frosted cookies: [tex]$ 1.00 \times L $[/tex].
3. Add these two amounts together to get the total cost [tex]$ T $[/tex].

Thus, the formula that represents the total cost [tex]$ T $[/tex] is:
[tex]\[ T = 1.50c + 1.00L \][/tex]

By comparing with the given options, the correct formula is:
[tex]\[ T = 1.50c + 1.00L \][/tex]