Question
The cost of renting a car is $60 per day plus a one-time fee of $20 for insurance. How many days can the car be rented if the total cost is to be no more than $440?
Write an inequality to represent the situation. Use x to represent the number of days.
20+60x≤440
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 20 + 60x = 440, to find the boundary for the inequality. Show your work or solve on paper.
20 + 60x ≤ 440
20+60x
=
440
x
=
7
You got it!
You found that x = 7 is the solution to the associated equation. Is x = 7 also included in the solutions to the inequality?
20 + 60x ≤ 440
Yes
No
Write an inequality to represent the situation. Use x to represent the number of days.
20+60x≤440
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 20 + 60x = 440, to find the boundary for the inequality. Show your work or solve on paper.
20 + 60x ≤ 440
20+60x
=
440
x
=
7
You got it!
You found that x = 7 is the solution to the associated equation. Is x = 7 also included in the solutions to the inequality?
20 + 60x ≤ 440
Yes
No
Answers
GPT-4o mini
Yes, \( x = 7 \) is included in the solutions to the inequality \( 20 + 60x \leq 440 \).
The inequality represents that the total cost of renting the car can be equal to or less than $440. Since the inequality includes "less than or equal to" (indicated by the "≤"), the boundary point \( x = 7 \) is part of the solution set. Therefore, you can rent the car for up to 7 days, and renting it for exactly 7 days is within the limit of the total cost.
The inequality represents that the total cost of renting the car can be equal to or less than $440. Since the inequality includes "less than or equal to" (indicated by the "≤"), the boundary point \( x = 7 \) is part of the solution set. Therefore, you can rent the car for up to 7 days, and renting it for exactly 7 days is within the limit of the total cost.