QuestionFind the healthy weight $W$ for a height $H=6$ (5'6") using $\frac{W}{2}-3H=53$ . How many pounds below the upper range?

Studdy Solution

STEP 1

Assumptions1. The mathematical model is $\frac{W}{}-3 H=53$ . The height $H$ is in inches over5 feet3. The weight $W$ is in pounds4. The person's height is $5'6''$ , which is6 inches over5 feet, so $H=6$

STEP 2

First, we need to find the weight $W$ using the given formula. We can do this by rearranging the formula to solve for $W$ .
$W =2(H +53)$

STEP 3

Now, plug in the given value for $H$ to calculate the weight.
$W =2(3 \times6 +53)$

STEP 4

Calculate the weight.
$W =2(18 +53)$

STEP 5

Calculate the weight.
$W =2 \times71$

STEP 6

Calculate the weight.
$W =142 \, pounds$ The healthy weight for a person whose height is $5'6''$ is142 pounds.
The second part of the problem asks how many pounds this healthy weight is below the upper end of the range shown by the bar graph. Without the bar graph, we cannot answer this part of the problem.

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QuestionFind the healthy weight $W$ for a height $H=6$ (5'6") using $\frac{W}{2}-3H=53$ . How many pounds below the upper range?

Studdy Solution

STEP 1

Assumptions1. The mathematical model is $\frac{W}{}-3 H=53$ . The height $H$ is in inches over5 feet3. The weight $W$ is in pounds4. The person's height is $5'6''$ , which is6 inches over5 feet, so $H=6$

STEP 2

First, we need to find the weight $W$ using the given formula. We can do this by rearranging the formula to solve for $W$ .
$W =2(H +53)$

STEP 3

Now, plug in the given value for $H$ to calculate the weight.
$W =2(3 \times6 +53)$

STEP 4

Calculate the weight.
$W =2(18 +53)$

STEP 5

Calculate the weight.
$W =2 \times71$

STEP 6

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QuestionFind the healthy weight WWW for a height H=6H=6H=6 (5'6") using W2−3H=53\frac{W}{2}-3H=532W​−3H=53. How many pounds below the upper range?

Studdy Solution

STEP 1

Assumptions1. The mathematical model is W−3H=53\frac{W}{}-3 H=53W​−3H=53 . The height HHH is in inches over5 feet3. The weight WWW is in pounds4. The person's height is 5′6′′5'6''5′6′′, which is6 inches over5 feet, so H=6H=6H=6

STEP 2

First, we need to find the weight WWW using the given formula. We can do this by rearranging the formula to solve for WWW.W=2(H+53)W =2(H +53)W=2(H+53)

STEP 3

Now, plug in the given value for HHH to calculate the weight.W=2(3×6+53)W =2(3 \times6 +53)W=2(3×6+53)

STEP 4

Calculate the weight.W=2(18+53)W =2(18 +53)W=2(18+53)

STEP 5

Calculate the weight.W=2×71W =2 \times71W=2×71

STEP 6

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Studdy solves anything!

Start learning now

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

QuestionFind the healthy weight $W$ for a height $H=6$ (5'6") using $\frac{W}{2}-3H=53$ . How many pounds below the upper range?

Assumptions1. The mathematical model is $\frac{W}{}-3 H=53$ . The height $H$ is in inches over5 feet3. The weight $W$ is in pounds4. The person's height is $5'6''$ , which is6 inches over5 feet, so $H=6$

First, we need to find the weight $W$ using the given formula. We can do this by rearranging the formula to solve for $W$ .
$W =2(H +53)$

Now, plug in the given value for $H$ to calculate the weight.
$W =2(3 \times6 +53)$

Calculate the weight.
$W =2(18 +53)$

Calculate the weight.
$W =2 \times71$