Q. 282 Highway grade. A local road rise... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 282 (page 495)

Highway grade. A local road rises 2 feet for every 50 feet of highway.
(a) What is the slope of the highway?
(b) The grade of a highway is its slope expressed as a percent. What is the grade of this highway?

Short Answer

Expert verified

Part (a) The slope of the road is $\frac{1}{25}$ .

Part (b) The grade of the road is 4%.

Step by step solution

Part (a). Step 1. Given Information

The road rises 2 feet for every 50 feet .

Part (a) . Step 2. Determine the slope

The slope is the ratio of rise to the run, $s l o p e = \frac{r i s e}{r u n}$ .
From the given information, the rise is of 2 feet and run is of 50 feet.
Determine the slope of the road.

role="math" localid="1647520316912" $\begin{array}{rcl} s l o p e & = & \frac{2}{50} \\ = & \frac{1}{25} \end{array}$

The slope of the road is $\begin{array}{rcl} \frac{1}{25} \end{array}$ .

Part (b). Step 1. Given Information

The road rises 2 feet for every 50 feet .

Part (b). Step 2. Determine the grade

As derived in part a), the slope of the road is $\frac{1}{25}$ .
Multiply the slope by $100 %$ by determine thegrade.

$\begin{array}{rcl} g r a d e & = & s l o p e 脳 100 % \\ = & \frac{1}{25} 脳 100 % \\ = & 4 % \end{array}$

So, the grade of the road is 4%.

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91影视

Highway grade. A local road rises 2 feet for every 50 feet of highway.
(a) What is the slope of the highway?
(b) The grade of a highway is its slope expressed as a percent. What is the grade of this highway?

Short Answer

Step by step solution

Part (a). Step 1. Given Information

Part (a) . Step 2. Determine the slope

Part (b). Step 1. Given Information

Part (b). Step 2. Determine the grade

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91影视

Highway grade. A local road rises 2 feet for every 50 feet of highway.(a) What is the slope of the highway?(b) The grade of a highway is its slope expressed as a percent. What is the grade of this highway?

Short Answer

Step by step solution

Part (a). Step 1. Given Information

Part (a) . Step 2. Determine the slope

Part (b). Step 1. Given Information

Part (b). Step 2. Determine the grade

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Mechanics Maths

Discrete Mathematics

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

Highway grade. A local road rises 2 feet for every 50 feet of highway.
(a) What is the slope of the highway?
(b) The grade of a highway is its slope expressed as a percent. What is the grade of this highway?