Question

Your cousin has $90 to spend on video games and movies. The equation 30x+15y=90 represents this situation, where x is the number of video games purchased and y is the number of movies purchased. Graph the equation.

Answer 1

9514 1404 393

Answer:

see attached

Explanation:

The intercepts can be found by setting one variable to zero and solving for the other.

y-intercept: 30·0 +15y = 90 ⇒ y = 90/15 = 6, point (0, 6)

x-intercept: 30x +15·0 = 90 ⇒ x = 90/30 = 3, point (3, 0)

The graph is easily made by plotting the intercepts and drawing a line through them.

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I like to let a graphing calculator do the graphing.