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3 years ago

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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?

1 answer:

insens350 [35]3 years ago

7 0

Answer:

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

$\frac{25h}{25} \geq \frac{900}{25} \\h\geq 36$

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

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