The freezing point of water, T (measured in degrees Fahrenheit), at altitude a (measured in feet) is modeled by the function Tla) = .0001a + 32. In terms of altitude and temperature, which statement describes the meaning of the slope?
A.)The freezing point decreases by 1 degree as the altitude increases by 10,000 feet.
B.) The freezing point increases by 1 degree as the altitude increases by 10,000 feet.
C.) The freezing point decreases by 10 degrees as the altitude increases by 10,000 feet.
D.) The freezing point increases by 10 degrees as the altitude increases by 10,000 feet.

The correct option is;

B.) The freezing point increases by 1 degree as the altitude increases by 10,000 feet

Step-by-step explanation:

Given that the function that gives the freezing point temperature is T(a) = 0.0001·a + 32, we have;

Given that the coefficient of the straight line equation is positive, the freezing point varies positively (proportionately) with the increase in the altitude, that is as the altitude increases, the freezing point increases.

At 10,000 feet, a = 10,000, T(a) = T(10,000) = 0.0001×10,000 + 32 = 1 + 32 = 33

Therefore, the freezing point temperature increases by 1 degree for each rise (increase) in altitude of 10,000 feet.

do you have any choices

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.