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SAT - Math - Speed Time Distance

At which air temperature will the speed of a sound wave be closest to 1,000 feet per second?

a = 1,052 1.08t

The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit.

 

At which air temperature will the speed of a sound wave be closest to 1,000 feet per second?

we need to find t when a = 1000

1000 = 1052 + 1.08t

-52 = 1.08 t

t = -52/1.08 = 48.14 Farehnheit