Filiz traveled north and west and ended up 25 miles from her starting location.

what is one way to estimate the possible distance that filiz traveled north, and the possible distance that filiz traveled west?

how many possible routes do you think there were for filiz? explain your reasoning.

Either 15 miles north  20 miles west or 20 miles north 15 miles west

The best route Filiz can take is the hypothenuse  in which case he will drive only 25 miles

Step-by-step explanation:

The described route make us think of a right triangle.

Where the way north is one leg and the west way the other one

So we have two possibilities

1.- North way traveled  is 15  miles  and   west way   20 miles

2.- North way traveled  is 20  miles  and   west way  15 miles

Both cases end in a distance of  25 miles from the starting point according to Pithagoras Theorem

(25)²  =  (15)²  +  (20)²   =      625

Taking   √(25)²     =  25 miles

The best route Filiz can take is the hypothenuse  in which case he will drive only 25 miles

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

if x = 1, then the answer is 3.5