Question

Corn production, C, is a function of rainfall, R (in inches), and temperature, T (in degrees C ). The first figure below shows how rainfall is predicted to vary with time because of global warming; the second, how temperature is predicted to vary with time because of global warming. Suppose that we know that (currently) ΔC≈3.4ΔR−5ΔT Use this to estimate the change in corn production between the year 2020 and the year 2021. Change = Hence, estimate dC/dt when t=2020. dC/dt=

Answer 1

The change in corn production between 2020 and 2021 is estimated to be -5 units. More information is needed to estimate the rate of change of corn production when t = 2020.

Step-by-step explanation:

To estimate the change in corn production between the year 2020 and the year 2021, we can use the given equation: ΔC ≈ 3.4ΔR − 5ΔT. Here, ΔR represents the change in rainfall and ΔT represents the change in temperature.

Since we know that the change in rainfall is 0 inches (ΔR = 0) and the change in temperature is 1 degree Celsius (ΔT = 1), we can substitute these values into the equation:

ΔC = 3.4(0) - 5(1) = 0 - 5 = -5

Hence, the change in corn production between the year 2020 and the year 2021 is estimated to be -5 units. To estimate dC/dt when t = 2020, we need more information about the rates of change of rainfall and temperature over time.