r=200−181k(Tt−Tw)The formula gives the temperature change r, in degrees Celsius per minute, of tortellini while it is being cooked, given the initial temperatures of the tortellini, Tt, and the water, Tw, in degrees Celsius, and a heat conductivity of the tortellini of k joules per square centimeter per second. Which equation correctly gives the heat conductivity of the tortellini in terms of the temperature change per minute and the initial temperatures of the water and tortellini?Choose 1 answer:(A) k=−181Tt200(r+Tw)(B) k=−181(Tt−Tw)200r(C) k=−181T+200r+TW
Q. r=200−181k(Tt−Tw)The formula gives the temperature change r, in degrees Celsius per minute, of tortellini while it is being cooked, given the initial temperatures of the tortellini, Tt, and the water, Tw, in degrees Celsius, and a heat conductivity of the tortellini of k joules per square centimeter per second. Which equation correctly gives the heat conductivity of the tortellini in terms of the temperature change per minute and the initial temperatures of the water and tortellini?Choose 1 answer:(A) k=−181Tt200(r+Tw)(B) k=−181(Tt−Tw)200r(C) k=−181T+200r+TW
Given formula: We are given the formula:r=200−181⋅k⋅(Tt−Tw)We need to solve for k.First, we multiply both sides of the equation by 200 to get rid of the denominator.200⋅r=−181⋅k⋅(Tt−Tw)
Solving for k: Next, we divide both sides of the equation by −181 and by (Tt−Tw) to solve for k.k=−181⋅(Tt−Tw)200⋅r
Multiplying both sides: We check the answer choices to see which one matches our derived formula for k. The correct answer is: (B) k=−181⋅(Tt−Tw)200⋅r
More problems from Interpret parts of quadratic expressions: word problems