Solve the problem. 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 735 mL container takes 13 seconds to go out and a flame in
A) 1225 mL container takes 23 seconds. Write a linear function that relates t to x. A) $t = \frac { 1 } { 49 } x - 2$
B) $t = \frac { 1 } { 49 } x$
C) $t = 49 x - 2$
D) $t = \frac { 9 } { 490 } x - \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

To find the correct linear function, we use the two given points: (735, 13) and (1225, 23). The slope $m$ of the line is calculated as $\frac{23 - 13}{1225 - 735} = \frac{10}{490} = \frac{1}{49}$. Using one of the points to solve for the y-intercept $b$, $13 = \frac{1}{49} \cdot 735 + b$, we find $b = -2$. Thus, the equation is $t = \frac{1}{49}x - 2$.

Solve the Problem t=149x−2t = \frac { 1 } { 49 } x - 2t=491​x−2

Solve the Problem $t = \frac { 1 } { 49 } x - 2$