Francis is hiking up Killington Hill. After 1 hour, he is at an elevation of 100 feet. After 5 hours, he is at an elevation of 360 feet. Find the slope and an equation that represents the scenario.

A. The slope is 65. An equation that represents the scenario would be y-360=65(x - 5)
B. The slope is 65. An equation that represents the scenario would be y-100=65(x - 5)
C. The slope is 65. An equation that represents the scenario would be y-360=65(x - 1)
D. The slope is 260. An equation that represents the scenario would be y-100=260(x - 1)

1 answer

B. The slope is 65. An equation that represents the scenario would be y-100=65(x - 5)

To find the slope, we use the formula: slope = (change in y)/(change in x)

Slope = (360-100)/(5-1) = 260/4 = 65

The equation that represents the scenario using point-slope form is: y-100=65(x-5)