Write all linear equations in slope-intercept form.
-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 798 mL container takes 14 seconds to go out and a flame in a 1344 mL container takes
27 seconds. Write a linear function that relates t to x.
A) $t = \frac { 1 } { 42 } x$
B) $t = \frac { 1 } { 42 } x - 5$
C) $t = \frac { 41 } { 2142 } x - \frac { 65 } { 51 }$
D) $t = 42 x - 5$

Question

Write all linear equations in slope-intercept form.
-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 798 mL container takes 14 seconds to go out and a flame in a 1344 mL container takes
27 seconds. Write a linear function that relates t to x. 
A) $t = \frac { 1 } { 42 } x$
B) $t = \frac { 1 } { 42 } x - 5$
C) $t = \frac { 41 } { 2142 } x - \frac { 65 } { 51 }$
D) $t = 42 x - 5$

Quizplus · Accepted Answer

The slope of the line is calculated as the change in time divided by the change in volume: (27-14)/(1344-798) = 1/42. Using the point-slope form and substituting one of the points, the equation becomes $t = \frac{1}{42}x - 5$.

Write All Linear Equations in Slope-Intercept Form t=142xt = \frac { 1 } { 42 } xt=421​x

Write All Linear Equations in Slope-Intercept Form $t = \frac { 1 } { 42 } x$