Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which is on the road and 3 kilometers from point P. Two kilometers due north of point is a cabin. The hiker will walk down the road for a while, at a pace of 8 kilometers per hour. At some point Z between P and Q, the hiker leaves the road and makes a straight line towards the cabin through the woods, hiking at a pace of 3 kph, as pictured in Figure 3.4.3. In order to minimize the time to go from P to Z to the cabin, where should the hiker turn into the forest? P Z 3 cabin Q 2 Figure 3.4.3. A hiker walks from P to Z to the cabin, as pictured. What should our objective/target function be for this problem? O A function modeling the total time to go from P to Z to the cabin O A function modeling the distance from Z to the cabin O A function modeling the total pace of walking along the road and then throuhgh the woods O A function modeling the distance from P to Z

Q: Use a graphing utility to compare the slopes of the lines y = mx, where m = 0.5, 1, 2, and 4. Which…

A: Graph of y=mx, when m is +ve, The line which rises most quickly is given by y=4x

Q: 8.) Linear Review: Billy Bob recently purchased solar panels for his home. After 5 months he still…

A:

Q: A plane is currently 4000 km from its destination. 1.75 hours later, it is 3300 km from its…

A:

Q: Find an equation for the line parallel to the graph of y = −2+2 x and containing the point (-7,-6).…

A:

Q: An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours after…

A: Given that the fixed charge is= $250 And per hour charge is= $150 So if he works x hours, then his…

Q: Line m is a line that passes through point m and is parallel to line l.  What is the equation of…

A: Given, if m is a line that passes through point M and is parallel to line l.we have to find the…

Q: The slope of the line passing through points A (2k, 3k-1) and B (k-1, k+1) is 1. Find the value of…

A:

Q: solve with great detail and make sure to draw the scatter plot, and show how you came up with an…

A: a) The scatter plot of the data is attached below : b) Let's pick any two points on the graph…

Q: Find an equation of the line that satisfies the conditions. Write the equation in standard form 3…

A: given that a line passes through the point (0,2) and has a slope m=3/4. we need to find the equation…

Q: Exercise 3. Consider the curve defined by the equation below. = 4 2 a) Find the slope of the curve…

A: We have to find

Q: 1. Linear functions a) Write the equation of the line with a slope 1/2 and passing through the point…

A: Since you have posted more than 3 subparts question, according to our guidelines we can solve only…

Q: 1. The equation for line G is given by 5y = -2x – 20. Suppose line G is parallel to line R, ar line…

A:

Q: A, b,c

A: a) We compare A=184+12.40t with y=mt+b Here, m=12.40  So slope=12.40 This means the rate of change…