Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 − 270x represents Brendon’s distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.Minutes Feet0 8,00015 3,800Which statements about this situation are true?a. Brendon walks faster.b. Bryan walks faster.c. Brendon and Bryan walk at the same speed.d. Brendon was farther away from home when he started walking.e. Bryan was farther away from home when he started walking.f. Brendon and Bryan were an equal distance from home when they started walking.
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Answer:Bryan walks fasterBryan was farther away from home when he started walking.Step-by-step explanation:Given the following :Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x' y = 7,920 − 270xFor bryan:Minutes (x) - - - 0 - - - - - 15Feet ( y) - - 8000 - - - 3800General form of a linear equation :y = mx + Cm = gradient / slopem = (y2 - y1) / (x2 - x1)m = (3800 - 8000) / (15 - 0)m = -4200 / 15 = - 280Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)Therefore,Bryan's model:y = 8000 - 280xComparing both functions :Bryan has a greater speed ( from the gradient) Bryan was farther away from home when he started walking ( intercept )
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