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Algebra
Question

According to Hooke's Law, a linear relationship ex...

According to Hooke's Law, a linear relationship exists between the distance that a spring stretches and the force stretching it. Suppose a weight of \( 0.5 \) kilograms causes a spring to stretch \( 2.75 \) centimeters and a weight of \( 1.2 \) kilograms causes the same spring to stretch \( 6.6 \) centimeters. 

(a) Find a linear model that relates the distance \( d \) of the stretch and the weight w. 

(b) What stretch is caused by a weight of \( 2.4 \) kilograms? 

(c) What weight causes a stretch of \( 15.4 \) centimeters? 

Answer

Answer:

a) d= 5.5w

b)13.2 cm

c) 2.8 kilogram

 

 

 

 

Solution
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