Final answer:
The expression to find the cost to run the air conditioner for d days is Cost = $40 + $1d. If Tim spent $85 on cooling his room, he used the air conditioner for 45 days.
Step-by-step explanation:
To write an expression that can be used to find the cost to run the air conditioner for d days, we can use the expression: Cost = $40 + $1d. This expression includes the initial cost of the air conditioner, which is $40, plus the cost of electricity for each day, which is $1 times the number of days(d).
If Tim spent a total of $85 on cooling his room, we can set up an equation using the expression: $85 = $40 + $1d. Then we can solve for d by subtracting $40 from both sides and dividing by $1. The value of d is 45 days.