Answer:
The expression is 100x + 50y ≤ 800.
Step-by-step explanation:
The hip hop DJ charge for $100 per hour. Let x be number of hours of hip hop :
[tex]hip \: hop = 100 \times x[/tex]
[tex]hip \: hop = 100x[/tex]
For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :
[tex]rap = 50 \times y[/tex]
[tex]rap = 50y[/tex]
Given that both DJs spend a maximum of $800. So the final expression is :
[tex]100x + 50y \leqslant 800[/tex]