Final answer:
To find the length of a call for which the two hotels charge the same amount, set up an equation using the given information, and solve for t. The length of the call for which the two hotels charge the same amount is 20 minutes.
Step-by-step explanation:
To find the length of a call for which the two hotels charge the same amount, we can set up an equation using the given information. Let's assume the length of the call is t minutes.
For the Wayside Hotel, the total charge would be $1 + $0.80t.
For the Blue Sky Hotel, the total charge would be $2 + $0.75t.
Setting these two expressions equal to each other and solving for t:
$1 + $0.80t = $2 + $0.75t
$0.05t = $1
t = $1 / $0.05
t = 20 minutes.