system of inequalities

Question

Please help me somve this problem and show work.

 

Chloe is buying souvenirs on vacation. she wants to spend $70 at most, but only has 60 cubic inches in her suitcase.

If bracelets cost $7 and take up 3in^3 of space and t-[shirts are $5 and take up 15in^3 of space.  Write and graph a system of FOUR inequalities that model chloe's possible purchases. Let x = bracelets and y = number of t-shirts.

 

Use a scale of 2 ion both axes when graphing.

 

thanks

Answer 1

To be honest I only see two inequalities in the question

 

7x +5y <= 70 for the cost

3x + 15y <= 60 for the volume in the suitcase

 

because if you really wanted to get technical then you could rewrite the top equations in terms of y

 

7x + 5y <= 70

3x + 15y <= 60

y<= (70-7x)/5

y<= (-3x + 60)/3

 

but the issue is no matter which way i write it your going to come out with 2 lines because the last two inequalities match up to the first. 

As far as a graph I cannot upload one here but you can email me through 

wyzant.com/tutors/tallguy