To answer the question about the total cost [tex]\( T \)[/tex] of ordering [tex]\( c \)[/tex] large cheese pizzas and [tex]\( d \)[/tex] large one-topping pizzas at the given costs, carefully assess each option:
1. Large cheese pizzas cost \[tex]$5 each.
2. Large one-topping pizzas cost \$[/tex]6 each.
Given these prices, let's denote:
- [tex]\( c \)[/tex] as the number of large cheese pizzas ordered,
- [tex]\( d \)[/tex] as the number of large one-topping pizzas ordered.
To find the total cost [tex]\( T \)[/tex]:
1. Multiply the cost of one large cheese pizza by the number of large cheese pizzas ordered ([tex]\( 5c \)[/tex]).
2. Multiply the cost of one large one-topping pizza by the number of large one-topping pizzas ordered ([tex]\( 6d \)[/tex]).
3. Add these two amounts together to get the total cost: [tex]\( T = 5c + 6d \)[/tex].
Hence, the correct equation representing the total cost [tex]\( T \)[/tex] of ordering [tex]\( c \)[/tex] large cheese pizzas and [tex]\( d \)[/tex] large one-topping pizzas is:
[tex]\[ T = 5c + 6d \][/tex]
So, the correct option is:
[tex]\[ T = 5c + 6d \][/tex]
