50

 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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