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Suppose there is a 1.3 degree Fahrenheit drop in temperature for every thousand feet that an airplane climbs into the sky. The temperature on the ground is -2.8 degrees Fahrenheit. Write a multiplication expression to represent the change in temperature after the plane ascends 10,000 feet?

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oladayoademosu

The multiplication expression to represent the change in temperature after the plane ascends 10,000 feet is ΔT = - 1.3 °F/1000 ft × 10000 ft

What is a multiplication expression?

A multiplication expression is an expression in which the variables are multiplied.

How to find the multiplication expression for the change in temperature?

Since the temperature drops by 1.3 degree Fahrenheit drop in temperature for every thousand feet that an airplane climbs into the sky, we find that the rate of temperature drop r = - 1.3 °F/1000 ft.

Since the temperature decrease is linear, we have that

ΔT/Δh = r where

  • ΔT = change in temperature,
  • Δh = change in height = 10000 ft - 0 ft = 10000 ft and
  • r = rate of temperature drop = - 1.3 °F/1000 ft.

Substituting the values of the variables into theequation, we have

ΔT/Δh  = r

ΔT = rΔh  

ΔT = - 1.3 °F/1000 ftΔh  

ΔT = - 1.3 °F/1000 ft × 10000 ft

ΔT = - 13 °F

So, multiplication expression to represent the change in temperature after the plane ascends 10,000 feet is ΔT = - 1.3 °F/1000 ft × 10000 ft

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