Answer
Y=360
Work Step by Step
to find the value of Y when C = 100, a = 10, and b = .25, we can use the equation C = a + bY and solve it for Y. The first step is to isolate Y on one side of the equation.
To do this, we can start by subtracting a from both sides of the equation:
C - a = bY
100 - 10 = b(Y)
90 = b(Y)
The next step is to divide both sides of the equation by b:
90/b = Y (b is 0.25)
360 = Y
So the value of Y when C = 100, a = 10, and b = .25 is 360.
In other words, we used the equation C = a + bY, which relates consumption (C) and income (Y), and we know the values of C and a, so we used these values to find the value of Y by isolating Y on one side of the equation.
