3 years ago

Leslie is 3 times as old as her son. After 10 years, Leslie will be two times as old as her son, how old is Leslie and her son.

2 answers:

8 0

Leslie is 30 years old and her son is 10 years old.

5 0

Leslie is 30 and her son is 10. 3 x 10 = 30
In 10 years;
Leslie will be 40 and her son will be 20. 20 x 2 = 40. Hope that helps

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Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

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$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

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2 years ago