QuestionGoal
Robin wants to rent a hotel room for his vacation. Hotel $A$ charges $\$ 76$ at check-in, then adds $\$ 10$ per day to the price. Hotel $B$ charges $\$ 166$ at check-in, then adds $\$ 1$ per day to the price. How many days, denoted as $d$ , can Robin rent at Hotel $A$ so that the total cost of $A$ remains strictly less than the total cost of Hotel $B$ ? Express your answer as an inequality.

Studdy Solution
Solve the inequality for $d$ .
Subtract $1d$ from both sides: $76 + 9d < 166$
Subtract 76 from both sides: $9d < 90$
Divide both sides by 9: $d < 10$
Therefore, Robin can rent at Hotel $A$ for fewer than 10 days to keep the cost strictly less than Hotel $B$ .

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