The figure shows the healthy weight region for various heights for people ages 3

Question

The figure shows the healthy weight region for various heights for people ages 35 and older. If x represents height in inches, and y represents weight, in pounds, the healthy weight region can be modeled by the system of linear inequalities below. {5.2x - y greaterthanorequalto 179 41 x - y lessthanorequalto 139 Using this information show that point A is a solution of the system of inequalities that describes healthy weight for this age group. Substitute the x and y-coordinates of point A for x and y in the first inequality greaterthanorequalto 179 (Type an integer or a decimal.) Complete the statement Point A is a solution of the system of inequalities because both statements are

Explanation / Answer

A = (69, 170)

Inequality 1

LHS = 5.2*69-170 = 188.8

RHS = 179

LHS > RHS (so A satisfies inequality 1)

Inequality 2

LHS = 4.1*69-170 = 112.9

RHS = 139

LHS < RHS (so A satisfies inequality 2)

answers - 188.8, 112.9, TRUE

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