Question 1094465
volume of gas is 24 cubic centimeters when the temperature is 32 degrees.
for every 3 degree rise in temperature, the volume of gas expands 4 cubic centimeters.
conversely for every 3 degrees fall in temperature, the volume of gas contracts 4 cubic centimeters.
difference between 32 and 20 is 12 degrees.
for every 3 degrees, volume of gas contracts 4 centimeters.
12/3 = 4
4 * 4 = 16
volume of gas drops from 24 to 8.


you got it right.


how to solve in equation form:


let x = number of degrees.
let y = number of cubic centimeters.


slope intercept form of the equation of a straight line is y = mx + b


m is the slope
b is the y-intercept.


you know that for every change of 3 degrees, the volume of gas changes 4.


your slope is change in y divided by change in x.


your slope should therefore be 4/3


y = mx + b becomes y = 4/3 * x + b


to solve for b, you take any one point on the line and replace x and y with it and then solve for b.


one of your points is given as (32,24)


the format of the point is (x,y).


therefore, when x = 32, y = 24.


replace x with 32 and y with 24 in the equation of y = 4/3 * x + b and you get:


24 = 32 * 4/3 + b


solve for b to get b = -56/3


your equation should be:


y = 4/3 * x - 56/3


when x = 32, y = 4/3 * 32 - 56/3 = 24


when x = 20, y = 4/3 * 20 - 56/3 = 8


equation looks good.


here's what the graph looks like:


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