Respuesta :
Answer:
[tex] y = 6 (1.14)^x[/tex]
Step-by-step explanation:
Given,
Initial length of hair, L = 6 in
rate of increase in a week, r = 14 %
We need to write the equation of the model
Let x be the time and y be the final length of the air
So,
[tex] y = 6 (1+ \frac{14}{100})^x[/tex]
[tex] y = 6 (1+ 0.14)^x[/tex]
[tex] y = 6 (1.14)^x[/tex]
Hence, the equation model is [tex] y = 6 (1.14)^x[/tex]
The function which represent Samantha’s hair growth rate is, [tex]f(x)=6*(1.4)^{x}[/tex] , 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,
[tex]f(x)=6(1+\frac{14}{100} )^{x} \\\\f(x)=6*(1+0.14)^{x}\\ \\f(x)=6(1.14)^{x}[/tex]
Thus, The function which represent Samantha’s hair growth rate is, [tex]f(x)=6*(1.4)^{x}[/tex] , where x represent number of weeks.
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