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.
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.