on a vacation, marcos distance from the grand canyon decreases 150 miles (mi) every 3 hours (h). after 4 h…

on a vacation, marcos distance from the grand canyon decreases 150 miles (mi) every 3 hours (h). after 4 h, he is 200 mi from the canyon. after 7 hours, he is 50 mi from the canyon. marcos distance from the grand canyon, $y$, is a function of the hours he drives, $x$.\npoints on the graph: $(4, 200)$ and $(7, 50)$\nhow does marcos distance from the grand canyon change each hour? find the rate of change.\nrate of change $= \\frac{50 - 200}{7 - 4}$\n$= \\square$

on a vacation, marcos distance from the grand canyon decreases 150 miles (mi) every 3 hours (h). after 4 h, he is 200 mi from the canyon. after 7 hours, he is 50 mi from the canyon. marcos distance from the grand canyon, $y$, is a function of the hours he drives, $x$.\npoints on the graph: $(4, 200)$ and $(7, 50)$\nhow does marcos distance from the grand canyon change each hour? find the rate of change.\nrate of change $= \\frac{50 - 200}{7 - 4}$\n$= \\square$

Answer

Explanation:

Step1: Calculate numerator

$50 - 200 = -150$

Step2: Calculate denominator

$7 - 4 = 3$

Step3: Compute rate of change

$\frac{-150}{3} = -50$

Answer:

$-50$ miles per hour (Marco's distance decreases by 50 miles each hour)