Question
A talent show will include 5 acts. How many minutes can each act perform if the total show time cannot be more than 90 minutes? Write an inequality, solve it, and graph the solution.
Answers
GPT 3.5
Let x be the number of minutes each act can perform.
The total show time is 5x.
We need to find the value of x that satisfies the inequality 5x ≤ 90.
Dividing both sides of the inequality by 5, we get x ≤ 18.
Therefore, each act can perform for a maximum of 18 minutes.
Graphical representation:
On the number line, plot all the values of x that are less than or equal to 18. Shade the region to the left of 18 on the number line to represent the solution.
The total show time is 5x.
We need to find the value of x that satisfies the inequality 5x ≤ 90.
Dividing both sides of the inequality by 5, we get x ≤ 18.
Therefore, each act can perform for a maximum of 18 minutes.
Graphical representation:
On the number line, plot all the values of x that are less than or equal to 18. Shade the region to the left of 18 on the number line to represent the solution.