SOLUTION: A 10-liter helium tank is used at a grocery store to fill balloons for the cutomers' children. The number of grams g of helium in the tank can be modeled by the equation g = 1.6p +

Algebra ->  Coordinate-system -> SOLUTION: A 10-liter helium tank is used at a grocery store to fill balloons for the cutomers' children. The number of grams g of helium in the tank can be modeled by the equation g = 1.6p +      Log On


   

Question 252774: A 10-liter helium tank is used at a grocery store to fill balloons for the cutomers' children. The number of grams g of helium in the tank can be modeled by the equation g = 1.6p + 2
where p is the tank's gauge pressure in units of atmospheres.
shows the correct graph of the equation? Can you please graph the solution?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
this is a straight line
plot g as if it were y
and p as if it were x
it has a slope of 1.6 and if p=0 then g=2
g=1.6p+2
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1.6+x+%2B+-1+y+=+-2 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1.6%2F-1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -2/1.6 = -1.25.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -2/-1 = 2.
  • Slope is -1.6/-1 = 1.6.
  • Equation in slope-intercept form: y=1.6*x+2.
graph%28+500%2C+500%2C+-1.25-8%2C+-1.25%2B8%2C+2-8%2C+2%2B8%2C+1.6%2Ax%2B2+%29+