Answer:
1. y = 2
2. r = 60
[tex]3. \: \frac{9}{64} [/tex]
4. y = 8
5. w = 1
6. m = 12
[tex]7. \: \frac{100}{7} \:or \: lowest \: term \: of \: {14} \frac{2}{7} [/tex]
8. a = 16
9. w = 2
[tex]10. \: y = \frac{10}{3} \: or \: lowest \: term \: of \: {3} \frac{1}{3} [/tex]
Step-by-step explanation:
[tex]1. \: y = \frac{k}{x} [/tex]
[tex]3 = \frac{k}{4} [/tex]
3(4) = k
12 = k
[tex]y = \frac{12}{x} [/tex]
[tex]y = \frac{12}{6} [/tex]
y = 2
[tex]2. \: r = \frac{k}{s} [/tex]
[tex]100 = \frac{k}{27} [/tex]
100(27) = k
2700 = k
[tex]r = \frac{2700}{45} [/tex]
r = 60
[tex]3. \: p = \frac{k}{q^{2} } [/tex]
[tex]3 = \frac{k}{ {3}^{2} } [/tex]
[tex]3 = \frac{k}{9} [/tex]
3(9) = k
36 = k
[tex]p = \frac{36}{ {q}^{2} } [/tex]
[tex]p = \frac{36}{ {16}^{2}} [/tex]
[tex]p = \frac{36}{256} [/tex]
[tex]p = \frac{9}{64} [/tex]
[tex]4. \: y = \frac{k}{x} [/tex]
[tex] - 2 = \frac{k}{ - 8} [/tex]
(-2)(-8) = k
16 = k
[tex]y = \frac{16}{x} [/tex]
[tex]y = \frac{16}{2} [/tex]
y = 8
[tex]5. \: w = \frac{k}{y} [/tex]
[tex]2 = \frac{k}{3} [/tex]
2(3) = k
6 = k
[tex]w = \frac{6}{y} [/tex]
[tex]w = \frac{6}{6} [/tex]
w = 1
[tex]6. \: m = \frac{k}{n} [/tex]
[tex]8 = \frac{k}{3} [/tex]
8(3) = k
24 = k
[tex]m = \frac{24}{n} [/tex]
m = 12
[tex]7. \: y = \frac{k}{x} [/tex]
[tex]10 = \frac{k}{10} [/tex]
10(10) = k
100 = k
[tex]y = \frac{100}{x} [/tex]
[tex]y = \frac{100}{7} \: or \: lowest \: term \: of \: 14 \frac{2}{7} [/tex]
[tex]8. \: a = \frac{k}{b} [/tex]
[tex]12 = \frac{k}{8} [/tex]
12(8) = k
96 = k
[tex]a = \frac{96}{b} [/tex]
[tex]a = \frac{96}{6} [/tex]
a = 16
[tex]9. \: w = \frac{k}{x} [/tex]
[tex]10 = \frac{k}{5} [/tex]
10(5) = k
50 = k
[tex]w = \frac{50}{x} [/tex]
[tex]w = \frac{50}{25} [/tex]
w = 2
[tex]10. \: y = \frac{k}{x} [/tex]
[tex]10 = \frac{k}{5} [/tex]
10(5) = k
50 = k
[tex]y = \frac{50}{x} [/tex]
[tex]y = \frac{50}{15} [/tex]
[tex]y = \frac{10}{3} \: or \: lowest \: term \: of \: 3\frac{1}{3} [/tex]
I hope it's help
Please brainliest me
