SOLUTION: Could you please help me to solve this problem? Suppose national consumption, C, is $18 billion when disposable income, x, is $12 billion, and is $24 billion when disposable incom

Algebra ->  Functions -> SOLUTION: Could you please help me to solve this problem? Suppose national consumption, C, is $18 billion when disposable income, x, is $12 billion, and is $24 billion when disposable incom      Log On


   



Question 104721: Could you please help me to solve this problem?
Suppose national consumption, C, is $18 billion when disposable income, x, is $12 billion, and is $24 billion when disposable income is $18 billion. Assume that national consumption is linear where C is a function of x and write the national consumption function.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x,y)
(12,18)
(18,24)
There are your 2 points for your linear graph. put them on graph paper and draw a straight line. Don't forget to label in billinns of dollars.
It should look like this.
Ed
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (12, 18) and (x2, y2) = (18, 24).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%2824-18%29%2F%2818-12%29+=+1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1%2A12+%2Bb+=+6. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=18-1%2A12+=+6.

y=(1)x + (6)

Your graph: