(07.08) a heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. a device is added that aids in cooling according to the function h(x) = −x − 3. what will be the temperature of the metal after five hours?

i believe the answer is d.

hope it you! : d

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,