The correct letters for the given statements are:
- z = kxy
- k = 6
- z = 1
- a = kbh
- k = 1/2
- a = 5520
To find out the match for the letter that corresponds to the answer to the numbered item on your left, we need to translate the statements into mathematical sentences and identify the correct letter.
Translate into variation statement:
z varies jointly as x and y
z = kxy
If z=36 when x=3 and y=2, find k:
z = 36
36 = k(3)(2)
k = 36 / 6
k = 6
If x is 4 when y=3 and z=2, what is z if x=8 and y=6:
x = 4
4 = ky
4 = 6k
z = 4 / 6k
z = 1
The area (a) of a triangle varies jointly as its base (b) and height (h). Express the relation as variation statement:
a = kbh
If the area is 15cm² when the base is 5cm and the height is 6cm, find k:
a = 15
15 = k(5)(6)
k = 15 / (5 * 6)
k = 15 / 30
k = 1/2
If a= 65cm² when b=10cm and h= 13cm, find a when b= 8cm and h=11cm:
a = 65
65 = k(8)(11)
65 = k(8 * 11)
65 = k(88)
a = 65 * 88
a = 5520
The correct letters for the given statements are:
z = kxy
k = 6
z = 1
a = kbh
k = 1/2
a = 5520