Question

For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric temperature can be described by the formula t = −0.0035a + g, in which t is the atmospheric temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is measured, and g is the ground temperature in degrees Fahrenheit.

Solve the equation for a in the formula t = −0.0035a + g.
a) a = (t - g) / 0.0035
b) a = (t + g) / 0.0035
c) a = (g - t) / 0.0035
d) a = (t / 0.0035) - g

Answer 1

To solve the equation t = -0.0035a + g for a, isolate the variable a on one side of the equation by performing the necessary algebraic steps. The correct answer is a = (g - t) / 0.0035.

Step-by-step explanation:

To solve the equation t = -0.0035a + g for a, we need to isolate the variable a on one side of the equation.

Step 1: Start with the equation t = -0.0035a + g

Step 2: Add 0.0035a to both sides of the equation to get rid of the negative coefficient of a. This gives us t + 0.0035a = g

Step 3: Subtract t from both sides of the equation to isolate 0.0035a. This gives us 0.0035a = g - t

Step 4: Divide both sides of the equation by 0.0035 to solve for a. This gives us a = (g - t) / 0.0035

Therefore, the correct answer is a = (g - t) / 0.0035 (option c).