SOLUTION: The amount of time it takes a flame to go out in a closed contanier is a linear function of the volume of the container. A flame in a 656 mL container takes 12 seconds to go out an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The amount of time it takes a flame to go out in a closed contanier is a linear function of the volume of the container. A flame in a 656 mL container takes 12 seconds to go out an      Log On


   

Question 185428This question is from textbook
: The amount of time it takes a flame to go out in a closed contanier is a linear function of the volume of the container. A flame in a 656 mL container takes 12 seconds to go out and a flame in a 1353 mL container takes 29 seconds. Find the linear model that describes this situation. Express your result in slope-intercept form. This question is from textbook

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

In this scenario, we can appoint the following system%28X=time%2CY=Volume%29
It follows also system%28X%5B2%5D=29sec%2CX%5B1%5D=12sec%2CY%5B2%5D=1353ml%2CY%5B1%5D=656ml%29
Then, Via point-Slope Form:
m=%28Y%5B2%5D-Y%5B1%5D%29%2F%28X%5B2%5D-X%5B1%5D%29=%281353-656%29%2F%2829-12%29=697%2F17=41 Slope
Thru Point X1,Y1---->(12,656):
Via Slope-Intercept Form,Y=mX=b
656=41%2A12%2Bb
b=656-492=164, Y-Intercept
Also thru point X2,Y2---> (29,1353): (should be the same)
1353=41%2A29%2Bb
b=1353-1189=164, Y-Intercept
Therefore, it follows Slope-Intercept Form, highlight%28Y=41X%2B164%29Answer Let's see the graph,
----> GREEN DOTS ----> X1, Y1; BLACK DOTS ---> X2, Y2
Thank you,
Jojo