A truck that can carry no more than 6300 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 11 refrigerators and 8 pianos overload the truck? Explain.

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KarpaT KarpaT · Answer 1 · 2022-09-24T09:43:34+02:00

The inequality for the load in truck is 300r + 425p ≤ 6300.

11 refrigerators and 8 pianos will overload the truck.

Given,

The carrying capacity of truck = 6300 lbs

The truck is used to transport refrigerators and pianos.

The weight of 1 refrigerator = 300 lb

The weight of 1 piano = 425 lb

We have to find an inequality which shows the number of refrigerators and pianos could the truck carry.

Let's take the number of refrigerators as r and number of pianos as p.

We can equate by using their weights:

That is,

300r + 425p ≤ 6300

Next, we need to determine that, will 11 refrigerators and 8 pianos overload the truck:

We have to multiply the given number with their weights:

That is,

(300 × 11) + (425 × 8) = 3300 + 3400 = 6700

6700 is greater than 6300.

So, we can conclude that 11 refrigerators and 8 pianos will overload the truck.

Learn more about inequality here:

https://brainly.com/question/15901183

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