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| PAGE: 159 | SET: Exercises | PROBLEM: 50 |
Write an algebraic expression for the current situation.
The algebraic expression is 
.
First find the y intercept.
The y-intercept is the value of y, when x = 0.
(Substitute x = 0 in original equation)
(Apply multiplication property of zero: 
)
Apply division property of equality: Divide each side by 20.
(Cancel common terms)
(Divide: 
)
The y-intercept is 1000, so the graph intersects the y-axis at 
.
Next find the x-intercept.
The x-intercept is the value of x, when y = 0.
(Substitute y = 0 in original equation)
(Apply multiplication property of zero: 
)
(Divide each side by 50)
(Cancel common terms)
(Divide: 
)
The x-intercept is 400, so the graph intersects the x-axis at 
.
The x-intercept is 400.
The y-intercept is 1000.
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