Use the table to determine whether the relationship is proportional. if so, write an equation for the relationship. tell what each variable you use represents.

1) a. Yes, b. , c. Number of tickets= x, d. Total cost = y.

2) a. Yes b. , c. Weight = x,  d. Total cost = y.

Step-by-step explanation:

Since we know that directly proportional equations are in form of , where k is proportionality constant.

1. Let x be the number of tickets and y be the total cost.

Upon looking at our first table we can see that the relationship between number of tickets and their cost is directly proportional.

We can write this relationship as . 27 is our constant of proportionality. We can find it by subtracting cost of 2 tickets from cost of 3 tickets as . We can see that this is true for any two consecutive values on our table. (108-81), (135-108)

2. Let x be weight and y be total cost.

We can see that data values on second table also represent proportional relationship. We can represent this relationship as

We can see that cost difference of weights for 5th and 4th value is

Now let us verify it by finding the cost difference between weights 46 and 5

Therefore, our both table data value represent proportional relationships.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841