Question

The National committee for transportation has recommended
$18,000+x\le 72,000$ permissible weight range of truck while travelling on interstate.The interstate weight limit for a particular four-axle transfer truck is $18,000$ pounds per axle.The cab (front) of the truck weighs $11,000$ pounds, and the trailer of the truck, when empty, weighs $7,000$ pounds. What does the value $18,000$ represent in the inequality?

• A. The weight of the truck when fully loaded
• B. The weight of the truck when the trailer is empty
• C. The maximum weight allowed per axle
• D. The maximum weight of the cargo being transported

Answer 1

The correct option is B The weight of the truck when the trailer is empty

Given that the cab (front) of the truck weigh $11000$ ponds and the trailer truck, when empty.

And truck loading weight limit for a particular four -axle transfer truck is $18000$ ponds per axle

Then given inequality

$18000+x\le 72000$

As per given total weight of truck when is empty $=11000+7000=18000$ ponds

And total loading weight allowed on truck $=$ $4\times 18000=72000$

Then in given inequality

$18000+x\le 72000$

$18000$ is the weight of truck when the tailor is empty

And $7200$ is the total weight allowed in truck tailor

So $18000$ is the weight of truck when it is empty.