The function f(x) = 10(5)x represents the growth of a lizard population every year in a remote desert. crista wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. which function is correct for crista's purposes? f(x) = 10(52)the x over 2 power f(x) = ten halves(5)x f(x) = 10(5)x f(x) = 10(5 to the one half power)2x
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For solving, this question you have to understand what is the meaning of function ?
when we write y = f(x) , it means value of y depend upon value of x.
if we take x = x₁ then value of y = f(x₁)
Similarly here, given function f(x) = 10(5)ˣ
Question said , function f(x) = 10(5)ˣ represents the growth of lizard population every year in a remote desert .
and want the function of lizard population every half - year .
And we know, 1year have two half year.
then, we have to arrange the function in such a way that x part will be 2x .
Let's try ,
f(x) = 10(5)ˣ
= 10(5½)²ˣ
Hence, option (D) is correct answer .
when we write y = f(x) , it means value of y depend upon value of x.
if we take x = x₁ then value of y = f(x₁)
Similarly here, given function f(x) = 10(5)ˣ
Question said , function f(x) = 10(5)ˣ represents the growth of lizard population every year in a remote desert .
and want the function of lizard population every half - year .
And we know, 1year have two half year.
then, we have to arrange the function in such a way that x part will be 2x .
Let's try ,
f(x) = 10(5)ˣ
= 10(5½)²ˣ
Hence, option (D) is correct answer .
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