SOLUTION: I hate story problems! Ad company has $24000 to spend on ads. Radio ad+ $300/30 sec, TV ad $400/30 sec 300x + $400y = 24000. What do x and Y represent? Graph the equation. How ma

Algebra ->  Linear-equations -> SOLUTION: I hate story problems! Ad company has $24000 to spend on ads. Radio ad+ $300/30 sec, TV ad $400/30 sec 300x + $400y = 24000. What do x and Y represent? Graph the equation. How ma      Log On


   

Question 214337: I hate story problems!
Ad company has $24000 to spend on ads. Radio ad+ $300/30 sec, TV ad $400/30 sec
300x + $400y = 24000. What do x and Y represent? Graph the equation. How many solutions are there to the equation? How many solutions are there to the equation given that the number of ads of each type must be a whole number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ad company has $24000 to spend on ads. Radio ad+ $300/30 sec, TV ad $400/30 sec
300x + $400y = 24000.
What do x and Y represent?
x = no. of radio ads
y = no. of TV ads
;
Graph the equation.
We want the graph in the general y= form
300x + $400y = 24000
;
Subtract 300x from both sides
400y = 2400 - 300x
:
Simplify, divide by 100
4y = 24 - 3x
:
Divide both sides by 4
y = 6 - .75x
:
Plot the graph using points x=0; y=6; and x=4; y=3
+graph%28+300%2C+200%2C+-6%2C+10%2C+-6%2C+10%2C+6-.75x%29+
:
How many solutions are there to the equation?
There are 9 solutions for integer values for x; from 0 to 8
:
How many solutions are there to the equation given that the number of ads of each type must be a whole number?
:
If you require y to be an integer also, only 3, x=0, y=6; x=4, y=3; x=8 y=0