Answer:
- 250x +425y ≤ 5900
- the truck will be overloaded
Explanation:
You want an inequality relating the number of 250 lb refrigerators (x) and the number of 425 lb pianos (y) a truck with a 5900 lb load limit can carry. And you want to know if 12 refrigerators and 8 pianos will overload the truck.
Load
The weight of x refrigerators will be 250x. The weight of y pianos will be 425y. Then the restriction on the total weight is ...
250x +425y ≤ 5900 . . . . . . the load limit of the truck
Overload
The weight of 12 refrigerators and 8 pianos will be ...
250·12 +425·8 = 3000 +3400 = 6400 . . . . pounds
This weight will overload the truck.
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Additional comment
The graph shows the point (12, 8) is not in the solution space of the inequality. Hence the truck will be overloaded with that load.
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