QuestionFind the healthy weight for a person 5'6'' tall using $\frac{\mathrm{W}}{2}-3 \mathrm{H}=53$ . How many pounds below the max?

Studdy Solution

STEP 1

Assumptions1. The mathematical model is $\frac{W}{}-3H=53$ where W is weight in pounds and H is height in inches over5 feet. . The height of the person is $5'6''$ , which means H=6 (as this person's height is6 inches over5 feet).

STEP 2

We need to find the weight W for a person whose height is $5'6''$ . We can do this by rearranging the given mathematical model 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

Perform the multiplication and addition inside the parentheses.
$W =2(18 +53)$

STEP 5

implify the expression inside the parentheses.
$W =2 \times71$

STEP 6

Calculate the weight.
$W =2 \times71 =142$ According to the model, a healthy weight of a person $5'6''$ tall is142 pounds.
The second part of the question asks how many pounds this healthy weight is below the upper end of the range shown by the bar graph. However, without the bar graph, we cannot answer this part of the question.

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QuestionFind the healthy weight for a person 5'6'' tall using $\frac{\mathrm{W}}{2}-3 \mathrm{H}=53$ . How many pounds below the max?

Studdy Solution

STEP 1

Assumptions1. The mathematical model is $\frac{W}{}-3H=53$ where W is weight in pounds and H is height in inches over5 feet. . The height of the person is $5'6''$ , which means H=6 (as this person's height is6 inches over5 feet).

STEP 2

We need to find the weight W for a person whose height is $5'6''$ . We can do this by rearranging the given mathematical model 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

Perform the multiplication and addition inside the parentheses.
$W =2(18 +53)$

STEP 5

implify the expression inside the parentheses.
$W =2 \times71$

STEP 6

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QuestionFind the healthy weight for a person 5'6'' tall using W2−3H=53\frac{\mathrm{W}}{2}-3 \mathrm{H}=532W​−3H=53. How many pounds below the max?

Studdy Solution

STEP 1

Assumptions1. The mathematical model is W−3H=53\frac{W}{}-3H=53W​−3H=53 where W is weight in pounds and H is height in inches over5 feet. . The height of the person is 5′6′′5'6''5′6′′, which means H=6 (as this person's height is6 inches over5 feet).

STEP 2

We need to find the weight W for a person whose height is 5′6′′5'6''5′6′′. We can do this by rearranging the given mathematical model to solve for W.W=2(H+53)W =2(H +53)W=2(H+53)

STEP 3

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

STEP 4

Perform the multiplication and addition inside the parentheses.W=2(18+53)W =2(18 +53)W=2(18+53)

STEP 5

implify the expression inside the parentheses.W=2×71W =2 \times71W=2×71

STEP 6

Get Studdy

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 for a person 5'6'' tall using $\frac{\mathrm{W}}{2}-3 \mathrm{H}=53$ . How many pounds below the max?

Assumptions1. The mathematical model is $\frac{W}{}-3H=53$ where W is weight in pounds and H is height in inches over5 feet. . The height of the person is $5'6''$ , which means H=6 (as this person's height is6 inches over5 feet).

We need to find the weight W for a person whose height is $5'6''$ . We can do this by rearranging the given mathematical model to solve for W.
$W =2(H +53)$

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

Perform the multiplication and addition inside the parentheses.
$W =2(18 +53)$

implify the expression inside the parentheses.
$W =2 \times71$