Question

t_f = 1.80(t_c) + 32. therefore, -40°c {negative 40°c} when expressed in fahrenheit scale will be equal to: 1) -40 °f 2) -8 °f 3) -72 °f 4) -2.25 °f

Explanation:

Step1: Identify the formula and given value

We have the formula for converting Celsius to Fahrenheit: \( T_F = 1.80(T_C) + 32 \), and \( T_C = -40^\circ \text{C} \).

Step2: Substitute the value of \( T_C \) into the formula

Substitute \( T_C = -40 \) into \( T_F = 1.80(T_C) + 32 \). So we get \( T_F = 1.80\times(-40) + 32 \).

Step3: Calculate the multiplication part

First, calculate \( 1.80\times(-40) \). \( 1.80\times(-40)= - 72 \).

Step4: Calculate the final value of \( T_F \)

Now, add 32 to -72: \( T_F=-72 + 32=-40 \).

Answer:

1. \(-40^\circ \text{F}\)