quizsoln1 - Name Math 155 Quiz 1 29 August 2006...

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Name:___________________________ Math 155 Quiz 1 29 August 2006 Instructions : This quiz is closed book and closed notes. You may use a calculator. Label your answers and show all work. 1. (5 pts) The volume of an insect (V, in cubic millimeters) is a function of the temperature during development (T, measured in °C) according to V ( T ) = 2 10 + T 10 3 . The mass (M in milligrams) depends on volume according to M ( V ) =1.3 V . a) Find a function which represents mass as a function of temperature b) What is the mass of an insect which developed at -80 °C? a) M ( T ) = M ( V ( T )) = M 2 10 + T 10 3 = 2.6 10 + T 10
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Unformatted text preview: - 80 10 3 = 2.6(2) 3 = 20.8 mg 2. (5 pts) Given the points (-1,3) and (1,0), there is one line which passes through both points. a) Find the slope of the line b) Find an equation that represents the line in point-slope form c) Find the equation that represents the line in slope-intercept form d) Find the y-intercept of the line a) m = 3- 0- 1- 1 = -3 2 b) y- 3 = -3 2 ( x +1) OR y- 0 = -3 2 ( x- 1) *These can be solved for y as long as you don’t simplify* c) y- 3 = -3 2 ( x +1) y- 3 = -3 2 x-3 2 y = -3 2 x + 3 2 d) b = y-intercept = 3 2...
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