One estimate for the ideal body weight of a woman is shown b

One estimate for the ideal body weight of a woman is shown below. Use this information to answer parts (A) through (D). 58 kg + 2.7 kg for each inch over 5 feet Find a linear model for an estimate of the ideal weight of a woman using w for ideal body weight (in kilograms) and h for height over 5 feet (in inches). W = (Type an equation using h as the variable.) Interpret the slope of the model. the rate of change of weight with respect to height is 58 kilogram per inch. The rate of change of weight with respect to height is 58 inches per kilogram. The rate of change of weight with respect to height is 2.7 kilograms per inch. The rate of change of weight with respect to height is 2.7 inches per kilogram. If a woman is 5\'4\" tall, what does the model predict her weight to be? W = kg If a woman\'s predicted weight is 73 kilograms, what is her height? h = 5 feet and inches (Round to one decimal place as needed.)

Solution

Linear model for the estimate of the ideal weight of a woman using w as ideal body weight(in kgs) and h as height over 5 feet(in inches).
1 feet=12 inches => 5 feet=12x5 inches= 60 inches
Therefore the linear model is given by

w=58+2.7(h-60)

B)
w=58+2.7(h-60)
w=58+2.7h-162
w=2.7h-104
it is in the form y=mx+c where m is the slope of the equation.Hence in this equation m=2.7.
Since we are calculating the weight based on height the correct answer is option (c)The rate of change of weight is 2.7 kilograms per inch.
(C)
If a women is 5\'4\" tall i.e. 5x12+4=64 inches tall
=> h=64, we need to find w frm the model
w=58+2.7(h-60)
w=58+2.7(64-60)
w=58+2.7(4)
w=58+10.8
w=68.8 kilograms
Therefore if a woman is 5\'4\" tall then the model predicts her weight to be 68.8 Kg

(D)
w=73 Kilograms
we have to find the height of the woman
w=58+2.7(h-60)
73=58+2.7(h-60)
2.7(h-60)=73-58
h-60=15/2.7
h-60=5.5
h=60+5.5
h=65.5 inches
we know that 60 inches is 5 feet. Therefore the height of the woman is
h~5 feet and 5.5 inches.