Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-2 Direct Variation - Practice and Problem-Solving Exercises - Page 73: 57

Answer

The speed of the aircraft in miles per hour is $1091$ miles per hour.

Work Step by Step

We need to set up a proportion to solve this problem. $\dfrac{75}{110} = \dfrac{x}{1600}$ Use the cross-product property to multiply the numerator of one fraction with the denominator of the other: $110x = 120,000$ Divide both sides of the equation by $110$: $x = 1090.\overline{90}$ Thus, rounded-off to the nearest mile per hour, the speed of the aircraft is $1091$ miles per hour.
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