HELP! ALGEBRA 2 PROBLEM?

Reds vary inversely as browns squared. If 100 reds go with 4 browns, how many reds

go with 10 browns ?

A) 16 B) 625 C) 2 D) none of these

A = k over B

A varies inversely with B. k is the constant of proportionality

Comments

  • If two quantities vary inversely, their product is always the same (constant of variation k).

    So rb² = k

    100 • 4² = k

    100 • 16 = 1600 = k

    so r • 10² = 1600

    100r = 1600

    r = 1600 ÷ 100

    r = 16

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