Question

The amount of money jorge earns for (h) hours of work can be expressed as 100 + 25 (h) which inequality represents the number of hours jorge must work to earn at least $1,000?

Answer 1

This means jorge must work for at least 36 hours to earn $1,000. The inequality that represent this expression is h
`\geq`36

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
`\geq`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
`\geq`1000-100

25h
`\geq`900

dividing both sides by 25

`(25h)/(25) \geq (900)/(25) \\h\geq 36`

This means jorge must work for at least 36 hours to earn $1,000