Problema Solution

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.

1. write an inequality describing cody's goal in terms of hours at his job, x, and hours mowing lawns, y.

2. graph the inequality (scale 1 box = 11 hours)

3. plot and lable each pt listed below. for each pt state if cody can go on his classs trip. if yes, calculate his spending money.

Point Can he go? Spending money (if going)

______ __________ ________________________

A (77,33)

B (44,22)

C (99,11)

D (44,44)

Answer provided by our tutors

1. the inequality that represents how long he needs to work to accumulate $693 is


7x + 9y >= 693


2. click here to see the graph of the inequality


Click to see all the steps



3. plot and label each pt listed below. for each pt state if cody can go on his class trip. if yes, calculate his spending money.


A (77,33)


Cody gets 7(77)+9(33)=836 dollars and 836 > 693


836 - 693 = 143


He can go on the trip and has $143 for spending money.


B (44,22)


Cody gets 7(44)+9(22)=506 dollars and 506 < 693 thus he is unable to go on the trip.


C (99,11)


Cody gets 7(99)+9(11)=792 dollars and 792 > 693


792 - 693 = 99


He is able to go on the trip with $99 for spending money.


D (44,44)


Cody gets 7(44)+9(44)=704 dollars and 704 > 693


704 - 693 = 11


He can go on the trip with $11 left for spending money.