93.75000
Step-by-step explanation
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*p+4*b-(375)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 3p+4b-375 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3p+4b-375 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when p = 0 the value of b is 375/4 so this line "cuts" the b axis at b=93.75000
b-intercept = 375/4 = 93.75000
Calculate the X-Intercept :
When b = 0 the value of p is 125/1 Our line therefore "cuts" the p axis at p=125.00000
p-intercept = 375/3 = 125
Calculate the Slope :
Slope is defined as the change in b divided by the change in p. We note that for p=0, the value of b is 93.750 and for p=2.000, the value of b is 92.250. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 92.250 - 93.750 = -1.500 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.500/2.000 = -0.750
