AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
The swimming pool is open when the high temperature is higher than . Lainey tried to swim on Monday and Thursday (which was days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was on Monday, but decreased at a constant rate in the next days. Write an inequality to determine the rate of temperature decrease in degrees Celsius per day, , from Monday to Thursday
Full solution
Q. The swimming pool is open when the high temperature is higher than . Lainey tried to swim on Monday and Thursday (which was days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was on Monday, but decreased at a constant rate in the next days. Write an inequality to determine the rate of temperature decrease in degrees Celsius per day, , from Monday to Thursday
- Given Information: We know the high temperature on Monday was . Since the pool was closed on Thursday, the temperature must have been or lower. We need to find the rate of temperature decrease over days.
- Rate of Decrease: Let's denote the rate of temperature decrease per day as degrees Celsius. The temperature decreased for days, so the total decrease is degrees Celsius.
- Inequality Setup: We can set up an inequality to represent the situation. The temperature on Monday was , and after decreasing for days, it was at most on Thursday. So, the inequality is:
- Solving the Inequality: Now, we solve the inequality for . Subtract from both sides to isolate the term with :
- Final Result: To find the value of , we divide both sides by . Remember that dividing by a negative number reverses the inequality sign:
- Conclusion: The rate of temperature decrease per day, , must be at least degrees Celsius to go from ºC on Monday to ºC or lower by Thursday.
More problems from Percent of change: word problems
QuestionGet tutor help
QuestionGet tutor help