What formula tells the cost, in dollars, if a baker is calculating the charge for two types of cookies?

Chocolate chip cookies are [tex]$\$ 1.50$[/tex] per dozen and lemon frosted cookies are [tex]$\$ 2.50$[/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 frosted cookies, and [tex]$T$[/tex] be the total charge.

Click on the correct answer.

A. [tex]$T = 1.50c + 2.50L$[/tex]

B. [tex]$T = 2.50c + 1.50L$[/tex]

C. [tex]$T = 150c + 250L$[/tex]

D. [tex]$T = 4.00(L + c)$[/tex]

To determine the total charge for the cookies, let's break down the problem step-by-step:

1. Understand the Costs:
- Chocolate chip cookies cost [tex]$1.50 per dozen.
- Lemon frosted cookies cost $[/tex]2.50 per dozen.

2. Define Variables:
- Let [tex]$ c $[/tex] be the number of dozens of chocolate chip cookies.
- Let [tex]$ L $[/tex] be the number of dozens of lemon frosted cookies.
- Let [tex]$ T $[/tex] be the total charge in dollars.

3. Create the Formula:
- To find the total charge ([tex]$ T $[/tex]), we need to calculate the cost for each type of cookie and then add them together.
- The cost for chocolate chip cookies is [tex]$ 1.50 \times c $[/tex].
- The cost for lemon frosted cookies is [tex]$ 2.50 \times L $[/tex].

4. Add the Costs Together:
- The total charge [tex]$ T $[/tex] is the sum of the cost for the chocolate chip cookies and the lemon frosted cookies:
[tex]\[
T = 1.50c + 2.50L
\][/tex]

Therefore, the correct formula to calculate the total charge is [tex]$ T = 1.50c + 2.50L $[/tex]. This corresponds to the first option:

[tex]\[ T = 1.50c + 2.50L \][/tex]