Question

i inserted a picture of the question, i can give you the answer to the previous question if it helps. C(t) = -0.30(t-12)^2 + 40

Answer 1

F(t) = -0.54(t - 12)² + 104

Step-by-step explanation:

We know that C(t) = -0.30(t - 12)² + 40 and F(t) = 9/5C(t) + 32

Then, we can replace C(t) on the equation of F(t) to get

`\begin{gathered} F(t)=(9)/(5)C(t)+32 \\ F(t)=(9)/(5)(-0.30(t-12)^2+40)+32 \\ F(t)=(9)/(5)(-0.30)(t-12)^2+(9)/(5)(40)+32 \\ F(t)=-0.54(t-12)^2+72+32 \\ F(t)=-0.54(t-12)^2+104 \end{gathered}`

Therefore, the new function F(t) is

F(t) = -0.54(t - 12)² + 104