Question Find the grade of a hill with a slope of 1/7. Options: A) 13.3% B) 10.2% C) 14.3% D) 8.3%

Studdy Solution

STEP 1

Assumptions
1. The slope of the hill is given as a ratio of vertical rise to horizontal run, which is $1/7$ .
2. The grade of the hill is the slope expressed as a percentage.

STEP 2

To find the grade of the hill, we need to convert the slope ratio into a percentage.
$Grade = Slope \times 100\%$

STEP 3

Now, plug in the given value for the slope to calculate the grade.
$Grade = \frac{1}{7} \times 100\%$

STEP 4

Calculate the grade by performing the multiplication.
$Grade = \frac{1}{7} \times 100\% = \frac{100\%}{7}$

STEP 5

Divide 100% by 7 to get the grade as a percentage.
$Grade = \frac{100\%}{7} \approx 14.2857\%$

STEP 6

Since we need to express the grade in a form that matches one of the given options, we round the percentage to one decimal place.
$Grade \approx 14.3\%$
The grade of the hill is approximately $14.3\%$ , which matches option C.

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Question Find the grade of a hill with a slope of 1/7. Options: A) 13.3% B) 10.2% C) 14.3% D) 8.3%

Studdy Solution

STEP 1

Assumptions
1. The slope of the hill is given as a ratio of vertical rise to horizontal run, which is $1/7$ .
2. The grade of the hill is the slope expressed as a percentage.

STEP 2

To find the grade of the hill, we need to convert the slope ratio into a percentage.
$Grade = Slope \times 100\%$

STEP 3

Now, plug in the given value for the slope to calculate the grade.
$Grade = \frac{1}{7} \times 100\%$

STEP 4

Calculate the grade by performing the multiplication.
$Grade = \frac{1}{7} \times 100\% = \frac{100\%}{7}$

STEP 5

Divide 100% by 7 to get the grade as a percentage.
$Grade = \frac{100\%}{7} \approx 14.2857\%$

STEP 6

Since we need to express the grade in a form that matches one of the given options, we round the percentage to one decimal place.
$Grade \approx 14.3\%$
The grade of the hill is approximately $14.3\%$ , which matches option C.

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Question Find the grade of a hill with a slope of 1/7. Options: A) 13.3% B) 10.2% C) 14.3% D) 8.3%

Studdy Solution

STEP 1

Assumptions1. The slope of the hill is given as a ratio of vertical rise to horizontal run, which is 1/71/71/7.2. The grade of the hill is the slope expressed as a percentage.

STEP 2

To find the grade of the hill, we need to convert the slope ratio into a percentage.Grade=Slope×100%Grade = Slope \times 100\%Grade=Slope×100%

STEP 3

Now, plug in the given value for the slope to calculate the grade.Grade=17×100%Grade = \frac{1}{7} \times 100\%Grade=71​×100%

STEP 4

Calculate the grade by performing the multiplication.Grade=17×100%=100%7Grade = \frac{1}{7} \times 100\% = \frac{100\%}{7}Grade=71​×100%=7100%​

STEP 5

Divide 100% by 7 to get the grade as a percentage.Grade=100%7≈14.2857%Grade = \frac{100\%}{7} \approx 14.2857\%Grade=7100%​≈14.2857%

STEP 6

Since we need to express the grade in a form that matches one of the given options, we round the percentage to one decimal place.Grade≈14.3%Grade \approx 14.3\%Grade≈14.3%The grade of the hill is approximately 14.3%14.3\%14.3%, which matches option C.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions
1. The slope of the hill is given as a ratio of vertical rise to horizontal run, which is $1/7$ .
2. The grade of the hill is the slope expressed as a percentage.

To find the grade of the hill, we need to convert the slope ratio into a percentage.
$Grade = Slope \times 100\%$

Now, plug in the given value for the slope to calculate the grade.
$Grade = \frac{1}{7} \times 100\%$

Calculate the grade by performing the multiplication.
$Grade = \frac{1}{7} \times 100\% = \frac{100\%}{7}$

Divide 100% by 7 to get the grade as a percentage.
$Grade = \frac{100\%}{7} \approx 14.2857\%$

Since we need to express the grade in a form that matches one of the given options, we round the percentage to one decimal place.
$Grade \approx 14.3\%$
The grade of the hill is approximately $14.3\%$ , which matches option C.