PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Wri te an equation in standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days. PART B: Write the equation obtained in Part A using function notation.
PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
1 answer:
<span>1) Name the variables Number of days: x rent: y 2) state the initial points x y days $ 3 285 60 510 3) assume linear relation: => (y - yo) / (x - xo) = (y1 - yo) / (x1 - xo) => (y - 285) / (x - 3) = (510 - 285) / (60 - 3) => (y - 285) / (x - 3) = 225 / 57 = 75 / 19 => 19 (y - 285) = 75 (x - 3) => 19y - 19*285 = 75x - 75*3 => 19y - 75x = 5415 - 225 => 19y - 75x = 5190 => standar form = -75x + 19y = 5190
PART B: Write the equation obtained in Part A using function notation. -75x + 19y = 5190 => 19y = 5190 + 75x => y = 5190/19 + (75/19)x => function notation = f(x) = (75/19)x + 5190 / 19
PART C: Describe the steps to graph the equation obtained above on the
coordinate axes. Mention the labels on the axes and the intervals.
1) Coordinate axes: x: number of days y: rent 2) draw the two given points: (3,285) and (60, 510) 3) draw the line that joins those points from the interception of the y-axis until some points further (60, 510). </span>
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