SOLUTION: The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 748 mL container takes 14 seconds to go out
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-> SOLUTION: The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 748 mL container takes 14 seconds to go out
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Question 1077451: The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 748 mL container takes 14 seconds to go out and a flame in a 1100 mL container takes 22 seconds. Write a linear function that relates t to x. Answer by srinivas.g(540) (Show Source):
You can put this solution on YOUR website! let t be the time taken by flame
let x be the volume of the container
it is mentioned that t is linear function of x
hence t= ax+b
here a , b are constants
it is given that
for x=748 ml, t= 14
put these values in the above equation
14= 748 a +b ---------eq(1)
for x=1100 ml, t= 22 seconds
22 = 1100a+b ----- eq (2)
we need to solve eq(1) and eq(2) for a, b
subtract eq(1) from eq (2)
22 = 1100 a+ b
14 = 748 a +b
----------------------------
8=352 a
----------------------
put in eq(1)
hence b= -3 and a=
substitute these values in t= ax +b
