Lydia goes camping with her friends. Their camp site is a days hike up a moutain

Question

Lydia goes camping with her friends. Their camp site is a days hike up a moutain. It takes them 6 hours (not including breaks) to get to their campsite. Once they have settled Lydia figures out their ascent up the moutain (in feet above sea level) can be modeled by the linear equation y-150x+500, where x is in hours climbed In the context of this problem explain: 1) What is the y-intercept, and what does it represent? 2) What is the slope, and what does it represent? Be specific, and use units where appropriate.

Explanation / Answer

1) y intercept is the value of y when x = 0

Here, y intercept = 150x0+500 = 500

Here, y intercept is the ascent up the mountain when they have climbed 0 hours. This means, they were ata height of 500 feet above sea level before starting their climb.

2) The slope is 150.

Here, the slope gives the rate of change of y with respect to x. That is, the slope of 150 indicates that they climb at a speed of 150 feet per hour.

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.