39. Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. Write an equation to represent the problem. a. y = 6(0.14) b. y = 6(1.14) c. y = 6(1 + 14) d. y = 6(0.86)

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Ejeager916viz Ejeager916viz · Answer 1

Answer:

The function which represent Samantha’s hair growth rate is, f(x)=6*(1.4)^{x}f(x)=6∗(1.4)

x

, where x represent number of weeks.

Given that, initial length of hair is 6 inch and growth rate is 14 %.

A function which represent growth in x weeks shown below,

\begin{gathered}f(x)=6(1+\frac{14}{100} )^{x} \\\\f(x)=6*(1+0.14)^{x}\\ \\f(x)=6(1.14)^{x}\end{gathered}

f(x)=6(1+

100

14

)

x

f(x)=6∗(1+0.14)

x

f(x)=6(1.14)

x

Thus, The function which represent Samantha’s hair growth rate is, f(x)=6*(1.4)^{x}f(x)=6∗(1.4)

x

, where x represent number of weeks.

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