Final answer:
To represent Tim’s elevation since he began hiking, we can use the slope-intercept form equation: y = mx + b. The slope and y-intercept can be calculated using the rise over run formula and the given elevation points.
Step-by-step explanation:
To find Tim's elevation in slope-intercept form, we calculate the slope (m) as 300 feet per hour using the given altitudes and times. The y-intercept (b) is found to be 6750 feet based on his elevation at 10:30 a.m. The final equation representing Tim's elevation during his hike is y = 300x + 6750.
To write an equation in slope-intercept form that represents Tim's elevation since he began hiking, we need to use the slope-intercept form equation: y = mx + b, where m is the slope and b is the y-intercept. In this case, the elevation is represented by y and the time is represented by x.
We can calculate the slope using the rise over run formula: m = (y2 - y1) / (x2 - x1). Given the two elevation points at 10:30 a.m. (7200 feet) and 11:15 a.m. (7425 feet), we can plug in the values to calculate the slope:
m = (7425 - 7200) / (11:15 - 10:30)
The y-intercept b can be determined by substituting the values of x and y from one of the points into the slope-intercept form equation and solving for b.