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For which of the following values of time spent on the job and time spenting mowing is...

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mgoun | Student, Undergraduate | Valedictorian

Posted October 9, 2012 at 10:57 PM via web

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For which of the following values of time spent on the job and time spenting mowing is enough earned for the trip:

Cody wants to go on his senior class trip. He finds a job that pays $7 per hour and he also mows lawns for $9 an hour. He needs to earn $693 to pay for the trip, excluding spending money. Write an inequality describing Cody's goal in terms of hours at his job, x, and hour mowing lawns,y.  Graph the inequality (scale 1 box=11 hours)plot and label each point listed below. for each point state if cody can go on his class trip if yes calculate his spending money.

    point            amount earned?                spending money (if going)

  (77,33)

  (44,22)

  (99,11)

  (44,44)

Tagged with math, math algebra 1

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted October 10, 2012 at 2:10 AM (Answer #1)

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The amount required by Cody to go on the trip is $693. The job he has found pays $7 per hour and he can earn $9 per hour mowing lawns.

If he works on the job for x hours and mows lawns for y hours, the inequality that represents how long he needs to work to accumulate $693 is `7x + 9y >= 693`

For each of the number of hours given the total amount earned and the amount available as spending money is:

(77, 33), $836, $143

(44, 22), $506 , 0

(99, 11), $792, $99

(44, 44), $704, 11

The equality is represented below using a scaling factor of 1:11. If the time spent in each of the tasks corresponds to points on the graph, Cody earns enough only on those that lie above or line or on it.

 

He can go on the trip if the time spent on the job and time spent mowing is (77, 33), (99, 11) and (44, 44)

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