Question

1. climbing indira is mountain climbing and starts the day at 182.5 meters above sea level. each hour she descends 36.5 meters. the table shows the function relating indiras height to the number of hours she is mountain climbing. a. find the intercepts. b. describe what the intercepts mean in the context of the situation. time (hours) 0 1 2 3 4 5 6 7 8 9 10 time (hours) height (meters) x y 0 182.5 2 109.5 4 36.5 5 0

Explanation:

Step1: Find the y - intercept

The y - intercept is the value of y when x = 0. From the table, when x = 0, y = 182.5.

Step2: Find the x - intercept

The x - intercept is the value of x when y = 0. From the table, when y = 0, x = 5.

Step3: Interpret the y - intercept

The y - intercept (0, 182.5) means that at the start (time = 0 hours), Indira's height above sea - level is 182.5 meters.

Step4: Interpret the x - intercept

The x - intercept (5, 0) means that after 5 hours of mountain climbing, Indira's height above sea - level is 0 meters.

Answer:

a. y - intercept: (0, 182.5); x - intercept: (5, 0)
b. The y - intercept means Indira starts at 182.5 meters above sea - level. The x - intercept means after 5 hours of climbing, she reaches sea - level.