12) C varies directly as A and inversely as B; C=5 when A=55 and B=44
100
x=5
21) If y=9 when x=3, find x when y=15
100
2=12a/3
31) Write a function that models each variation:
x=3 and y=12 when z=2. z varies directly with y and inversely with x
100
6=3a/4
36) write a function that models each variation:
z=6 when x=4 and y=3, z varies directly with y and inversely with x
200
1001.01
2) 622 mi to km
200
a=-5
13) Z varies jointly as Y and the cube of x; Z= 120 when X= 2 and y= -3
200
x=28
22) If y=2 when x=8, find x when y=7
200
42=3a/2
32) When x=2 and y=3, z=42. Write the function that models each of the following relationships:
z varies inversely with x and directly with y
200
8=a*2*4
37) write a function that models each variation:
z=8 when x=2 and y=4, z varies jointly with x and y
300
57.71
4) express 34 mph in kph
300
a=27
14) Y varies inversely as the square of X; Y=3 when X=3
300
x=100
25) The diameter of a tree varies directly with its age. A 15-year-old tree has a 3.75 in. diameter. How old will the tree be when it has a 25 in. diameter?
300
42=a*2*3
33) When x=2 and y=3, z=42. Write the function that models each of the following relationships:
z varies indirectly with x and inversely with the square of y
300
15= 5a/4
38) If z=15 when x=4 and y=5 write a function that models the relationship:
z varies directly with y and inversely with x
400
x +(x+2)= 348
7) the sum of 2 consecutive odd integers in 348. find the integers.
400
d=245
15) The distance that an object falls when it is dropped varies directly as the square of the amount of time since it was dropped. An object falls 88.2 meters in 3 sec. Find the distance the objects falls in 5 seconds.
400
...
26) Describe a situation that could be represented by the direct variation y=12x
400
42= 2a/3^2
34) When x=2 and y=3, z=42. Write the function that models each of the following relationships:
z varies directly with x and inversely with the square of y
400
15=a*5*4
39)If z=15 when x=4 and y=5 write a function that models the relationship:
z varies jointly with x and y
500
1,207
9) Alan drives from his house to his mother's house in 17 hours. He drives at an average speed of 71 mph. What is the distance from Alan's house to his mother's house?
500
speed=4
16) The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 200 seconds with an average speed of 3 feet per second. Find the average speed of the swimmer if it takes 150 seconds to finish the race.
500
...
27) A student says that if y varies directly with x and y=9 when x=-3, then y=-4 when x=2. What is his error?
500
15=a/5
35) write a function that models each variation:
x=5 when y=15, y varies inversely with x
500
15= a/(5x4)
40) If z=15 when x=4 and y=5 write a function that models the relationship:
z varies inversely with the product of both x and y