The functions are illustrations of composite functions.
The soil temperature at 2:00pm is 67
The given parameters are:
[tex]\mathbf{I(h) =\frac{12h - h^2}{36}}[/tex] ---- the function for sun intensity
[tex]\mathbf{T(I) =\sqrt{5000I}}[/tex] -- the function for temperature
At 2:00pm, the value of h (number of hours) is:
[tex]\mathbf{h = 2:00pm - 6:00am}[/tex]
[tex]\mathbf{h = 8}[/tex]
Substitute 8 for h in [tex]\mathbf{I(h) =\frac{12h - h^2}{36}}[/tex], to calculate the sun intensity
[tex]\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}[/tex]
[tex]\mathbf{I(8) =\frac{32}{36}}[/tex]
[tex]\mathbf{I(8) =\frac{8}{9}}[/tex]
Substitute 8/9 for I in [tex]\mathbf{T(I) =\sqrt{5000I}}[/tex], to calculate the temperature of the soil
[tex]\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}[/tex]
[tex]\mathbf{T(8/9) =\sqrt{4444.44}}[/tex]
[tex]\mathbf{T(8/9) =66.67}[/tex]
Approximate
[tex]\mathbf{T(8/9) =67}[/tex]
Hence, the soil temperature at 2:00pm is 67
Read more about composite functions at:
https://brainly.com/question/20379727
