SOLUTION: A truck that can carry no more than 6800 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and gra

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Question 1072873: A truck that can carry no more than 6800 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 10 refrigerators and 9 pianos overload the​ truck?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of refrigerators
Let y = the number of upright pianos

300x%2B525y%22%22%3C=%22%226800

We graph the boundary line:

300x%2B525y%22%22=%22%226800

Divide through by 25 to simplify:

12x%2B21y%22%22=%22%22272

The intercepts are %28matrix%281%2C3%2C0%2C%22%2C%22%2C12%2620%2F21%29%29 and %28matrix%281%2C3%2C22%262%2F3%2C%22%2C%22%2C0%29%29

We draw the boundary line, and shade below it because the
origin used as a test point:

300%280%29%2B525%280%29%22%22%3C=%22%226800
0%22%22%3C=%22%226800 

gives a true inequality



Will 10 refrigerators and 9 pianos overload the truck?

The points inside or on the boundary of the shaded region
represent the loads the truck can carry.  The x-coodinate
is the number of refrigerators, and the y-coordinate is
the number of pianos.

We plot the point (10,9) and see if it is in the shaded region:



The point (10,9) is outside the shaded region, so yes,
10 refrigerators and 9 pianos will overload the truck.

Edwin