Answer:
This means jorge must work for at least 36 hours to earn $1,000. The inequality that represent this expression is h[tex]\geq[/tex]36
Step-by-step explanation:
Given the amount of money jorge earns for (h) hours of work expressed as 100 + 25 (h). If jorge must work to earn at least $1,000, this means that the lowest amount jorge can earn is $1,000. Jorge cannot earn below but above $1000 i.e he will always earn amount greater than or equal to $1,000.
The statement can be represented using the inequality;
100+25h [tex]\geq[/tex]1000
To know the number of hours jorge must work to earn at least $1000, we can solve the inequality function for 'h'
Subtarcting 100 from both sides;
100+25h-100[tex]\geq[/tex]1000-100
25h[tex]\geq[/tex]900
dividing both sides by 25
[tex]\frac{25h}{25} \geq \frac{900}{25} \\h\geq 36[/tex]
This means jorge must work for at least 36 hours to earn $1,000
