warpedkitten
  • warpedkitten
Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?
Mathematics
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warpedkitten
  • warpedkitten
Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Grayson's equation: 35h + 35. Ian's equation: 45h + 15. Set both equations equal to one another to figure out the number of hours Grayson charges more than Ian.
anonymous
  • anonymous
Once you've gotten the solution, plug it back into both equations to see if Grayson charged less/more than/equal to Ian.
mathstudent55
  • mathstudent55
Grayson: 35h + 35 Ian: 45h + 15 You want to know for what values of h Grayson charges more, so you need to solve this inequality for h: 35h + 35 > 45h + 15

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