Question

(1 point) The length of an insect (L, in mm) is a function of the temperature during development (T , measured in ∘C according to L(T)=8+T10 ) . The volume of the insect (V , in cubic mm) is a function of the length according to V(L)=7L3 . The mass (M in milligrams) depends on volume according to M(V)=1.1V . Find mass as a function of temperature. M(T)= How much would an insect weigh that developed at 22∘C?

Answer 1

Answer:

$M(T)=1.1(7(8+T^{10})^{3})$ and $M(T)=1.1(7(8+22^{10})^{3})=1.44\time10^{41}$

Step-by-step explanation:

We have the next set of functions:

$L(T)=8+T^{10}$

$V(L)=7L^{3}$

$M(V)=1.1V$

We want to know M(T) then:

$M(V)=1.1V$ but we know that $V(L)=7L^{3}$:

$M(L)=1.1(7L^{3})$ and we know that $L(T)=8+T^{10}$

$M(T)=1.1(7(8+T^{10})^{3})$

Finally using the value of 22º we have

$M(T)=1.1(7(8+22^{10})^{3})=1.44\time10^{41}$