To find the number of days [tex]\( d \)[/tex] at which the rental fee is the same for both agencies, we need to set up equations for the total cost of renting a car for each agency and then set these equations equal to each other.
### Agency 1
The cost per day is \[tex]$24.50, and there is an additional insurance fee of \$[/tex]15.99. Therefore, the total cost for renting the car from Agency 1 for [tex]\( d \)[/tex] days is:
[tex]\[ \text{Total Cost}_1 = 24.5d + 15.99 \][/tex]
### Agency 2
The cost per day is \[tex]$27.50, and there is an additional insurance fee of \$[/tex]3.99. Therefore, the total cost for renting the car from Agency 2 for [tex]\( d \)[/tex] days is:
[tex]\[ \text{Total Cost}_2 = 27.5d + 3.99 \][/tex]
To find the number of days [tex]\( d \)[/tex] at which the rental fees are equal for both agencies, set the two total cost equations equal to each other:
[tex]\[ 24.5d + 15.99 = 27.5d + 3.99 \][/tex]
Thus, the correct equation is:
[tex]\[ \boxed{24.5d + 15.99 = 27.5d + 3.99} \][/tex]
So, the correct answer is:
[tex]\[ \text{A. } 24.5d + 15.99 = 27.5d + 3.99 \][/tex]
