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State engineers have determined that a bridge cannot carry more than 700,000 pounds evenly dispersed.
The legal limit for 6-axle trucks is 100,000 pounds and the legal limit for Z-axle trucks is 34,000 pounds.
How many 6-axle trucks can travel on the bridge at one time? How many 2-axle trucks? (Assume that
there are no other vehicles on the bridge.) Write an inequality to solve the problem, then graph the solution.

Respuesta :

MrRoyal

The inequality of the bridge's legal limit 100000x + 34000y ≤ 700000

How to determine the inequality

The given parameters are:

  • Maximum = 700,000 pounds
  • 6-axle trucks = 100,000 pounds
  • 2-axle trucks = 34,000 pounds

Represent the 6-axle trucks with x and the y-axle trucks with y.

So, we have the following inequality

100000x + 34000y ≤ 700000

The number of 6-axle trucks at one time

Here, we assume that y = 0.

So, we have:

100000x ≤ 700000

Divide by 100000

x ≤ 7

Hence, the number of 6-axle trucks at one time is 7

The number of 2-axle trucks at one time

Here, we assume that x = 0.

So, we have:

34000x ≤ 700000

Divide by 34000

x ≤ 20.58

Round down

x ≤ 20

Hence, the number of 2-axle trucks at one time is 20

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