Question

MOUNTAIN CLIMBING In Exercises 7-11, a mountain climber is scaling a

400-foot cliff. The climber starts at the bottom at t = 0 and climbs at a
constant rate of 124 feet per hour.
What is the slope in the linear model for the situation?
8. The y-intercept represents the height at which the climber begins scaling the
cliff. What is the y-intercept in the linear model?
Q
9. Use the slope and y-intercept to write the linear model for the distance y
(in feet) that the climber climbs in terms of time t (in hours). Use slope-
intercept form.
10. After 3 hours, has the climber reached the top of the cliff?
Use the equation from Exercise 9 to determine the time that the climber will
reach the top of the cliff.

Answer 1

slope = 124

y-intercept = 0

Equation: y = 124x

3 hours does not allow the climber to reach the top.

3
`(7)/(31)` of an hour

Explanation:

y = mx

y = 124(3)

y = 372 After 3 hours, the climber has only gone 372 feet and the top is 400

y = 124x

400 = 124x Divide both sides by 124

3
`(7)/(31)` hours will be needs to reach the top of the cliff.