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ludmilkaskok [199]
2 years ago
10

A plane travels 1500 yards before lifting off the ground. If the plane continues on the

Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

The height of the plane when it gets to the tower would be 600 yards, which is greater than the height of the tower. Hence, <em>"the plane clears the tower with about 6 yards to spare." </em>

<u>Given</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>

  • <em>Initial distance traveled = 1500</em>
  • <em>Yards to control tower = 600</em>
  • <em>Height of control tower = 198 feets = (198×3) = 594 yards </em>

If the rate of ascent of the airplane is proportional to the distance traveled, that is (1 yard length = 1 yard height gained).

Then after traveling 600 yards to the position of the control tower, then the height of the plane would be 600 yards

<u>Difference in height</u> :

  • <em>Height of plane - Height of tower</em>

(600 yards - 594 yards) = 6 yards

Therefore, the most appropriate Statement is that, "<em>the</em><em> </em><em>plane</em><em> </em><em>clears</em><em> </em><em>the</em><em> </em><em>tower</em><em> </em><em>with</em><em> </em><em>about</em><em> </em><em>6</em><em> </em><em>yards</em><em> </em><em>to</em><em> </em><em>spare</em><em>.</em><em>"</em><em> </em>

Learn more : brainly.com/question/25311632

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Let y = 0 to find the x-intercept(s).

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Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

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This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

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