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Mathematics 17 Online
OpenStudy (rock_mit182):

The accompanying graph shows all of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18-wheeler. a) Write an inequality to describe this region. b) Will the truck hold 71 refrigerators and 118 TVs?

OpenStudy (rock_mit182):

OpenStudy (rock_mit182):

Please help me out at least with the first point !

OpenStudy (rock_mit182):

@nikato

OpenStudy (rock_mit182):

Please help me out

OpenStudy (rock_mit182):

I think i just need to figuere out the inequality

OpenStudy (rock_mit182):

the rest seems easier

OpenStudy (nikato):

Just ignore the inequality part for now. Can you just find the equation of that line?

OpenStudy (rock_mit182):

x + y = ?? when x = 0 --> y = 330 when y = 0 --> x =110

OpenStudy (rock_mit182):

i don't know how to put togheter everything

OpenStudy (nikato):

Ok. Lets start with finding the slope. Do you know how to find the slope of the line

OpenStudy (rock_mit182):

is it -3/1 ?

OpenStudy (rock_mit182):

y = -3x + b

OpenStudy (nikato):

Correct. And you should know b. it's the y intercept of the graph

OpenStudy (rock_mit182):

y = mx + b y = -3x + b

OpenStudy (rock_mit182):

p1 ( 0 . 330) --> 330 = -3 (0) + b

OpenStudy (rock_mit182):

b = 330

OpenStudy (rock_mit182):

y = -3x + 330 ?

OpenStudy (rock_mit182):

3x + y < = 330 ?

OpenStudy (nikato):

Correct.

OpenStudy (rock_mit182):

if is right, now what do i have to do ?

OpenStudy (nikato):

That would be your solution for a

OpenStudy (nikato):

For b, Plug in 71 for x and 118 for y and see if the inequality is still true

OpenStudy (rock_mit182):

now for b: 3 (118 ) + 71 <= 330

OpenStudy (rock_mit182):

false

OpenStudy (nikato):

Correct

OpenStudy (rock_mit182):

 The Burbank Buy More store is going to make an order which will include, at most, 60 refrigerators. What is the maximum number of TVs that could also be delivered on the same 18-wheeler? Be sure to show all your work and how you came to that conclusion.

OpenStudy (rock_mit182):

PLEAse guide me with this las example, with this ill get it all

OpenStudy (rock_mit182):

3x + 60 <=330

OpenStudy (rock_mit182):

solve for x ?

OpenStudy (nikato):

No plug 60 for x and solve for y. The x is refrigerator and y is tv if you look at your graph.

OpenStudy (rock_mit182):

man im so gratefull you rock with maths, thanks a million times!

OpenStudy (nikato):

No problem. You're a quick learner too

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