Adroid costs 65 republic credits per month to rent. how many droids should luke rent?

Luke should rent 4 droids.

Step-by-step explanation:

Complete question is attached in Fig 1

According to this

x     0       1         2         3         4        5

y     0       25      45       60      70       75

Plotting these points on graph as shown in Fig 2

No. of droids plotted on X-axis

Required no. of barrels on y-axis

According to graph if a droid costs 65 republic credits per month then Luke should rent 3.5 droids. To rent half a droid is not possible so rounding off to upper nearest which is 4. so Luke should rent 4 droids.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west