Q4. Manuel runs an average of 8 mile... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q4. (page 672)

Manuel runs an average of 8 miles per hour and finishes a race in 0.39 hours. Dyani finished the race in 0.35 hours. What was her average pace?

Short Answer

Expert verified

The average pace of Dyani is 8.91 miles per hour.

Step by step solution

Step 1. State the concept.

Relationship of the form $x y = k$ or $y = \frac{k}{x}$ where $x, y 鈮� 0$ for some nonzero constant $k$ is known as inverse variation i.e., $y$ varies inversely as $x$ .

Product Rule for Inverse Variations 鈥� If $(x_{1}, y_{1})$ and $+$ are solutions of an inverse variation, then $x_{1} y_{1} = x_{2} y_{2}$ .

Step 2. Apply Product rule for Inverse Variations.

First, make the table representing the situation given.

$x$	Distance	8	$x_{2}$
$y$	Time (hour)	0.39	0.35

In order to find $x_{2}$ , apply the product rule for Inverse variation. Substitute 8 for $x_{1}$ , 0.39 for $y_{1}$ and 0.35 for $y_{2}$ into the equation $x_{1} y_{1} = x_{2} y_{2}$ .

$x_{1} y_{1} = x_{2} y_{2} (8) 脳 (0.39) = (x_{2}) 脳 (0.35)$

Step 3. Simplify for x2.

Further, simplify by dividing both sides by 0.35.

$(8) 脳 (0.39) = (x_{2}) 脳 (0.35) 3.12 = 0.35 x_{2} x_{2} = \frac{3.12}{0.35} x_{2} = 8.91$

Hence, the average pace of Dyani is 8.91 miles per hour.

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91影视

Manuel runs an average of 8 miles per hour and finishes a race in 0.39 hours. Dyani finished the race in 0.35 hours. What was her average pace?

Short Answer

Step by step solution

Step 1. State the concept.

Step 2. Apply Product rule for Inverse Variations.

Step 3. Simplify for x2.

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