Suppose the temperature x miles above ground level is given by T(x)=69-29x. Dete
ID: 3425478 • Letter: S
Question
Suppose the temperature x miles above ground level is given by T(x)=69-29x. Determine where the temperature is below 52 degrees. Assume that the domain of T is 0 which is < or = to x which is < or = to 6. Answer the following questions. Use the intersection of graphs method to estimate the altitudes where the temperature is below 52 degrees.
The solution set is {x ___ <x< or = to ____}
Round to the nearest hundredth. Simplify, type the answer as an integer or fraction.
What does the x – intercept on the graph of T represent?
a) An altitude of 6 miles high
b) Altitude where the temperature equals zero
c) Ground level
Solve the first part symbolically.
Explanation / Answer
T(x) = 69 -29x <52
69 -29x < 52
29x > 69 -52
29x >10
x > 10/29
x>0.345 miles
for x>0.345 temp is below 52 deg
a) T(x) = 69 -29x
x intercept : 0 = 69 - 29x
x = 69/29 = 2.38 miles where temp is 0 deg
b) temp at x =6
T(6) = 69 - 29*6 = -105 deg
c) at x = 2.38 miles temp equals zero.
d) Ground level : x =0
T(0) = 69 deg
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