For the given exponential function, find a) the average rate of change for the interval [3, 5] and b) the interval [3.5, 4.5], as well as c) the rate of change at x = 4. Round all calculations to the nearest hundredth. f(x) = ex - 3 - 5
A. a) 3.58
b) 2.96
c) 2.72
B. a) 2.72
b) 2.83
c) 3.19
C. a) 3.19
b) 2.83
c) 2.72
D. a) 2.72
b) 2.96
c) 3.58
Answer: C
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Solve the problem.A particle moves on a coordinate line with acceleration 
subject to the conditions that 
and 
when 
Find the velocity 
in terms of t and the position s in terms of t.
A. v = 10
+ 6
- 13; s = 
+ 
- 13t + 
B. v = 
+ 
- 13t + 
; s = 10
+ 6
- 13
C. v = 10
+ 6
- 13; s = 
+ 
- 13t + 
D. v = 10
- 6
+ 13; s = 
- 
+ 13t + 
Provide an appropriate response.Change 50 miles to kilometers (1 mi = 1.6 km).
A. 31.2 B. 80 C. 31.1 D. 8 E. none of the above
Solve the problem.Suppose that two cars, both traveling at a constant speed of 60 miles per hour, approach each other on a straight highway. Initially they are 16 miles apart. Let x represent minutes. Give an absolute value equation whose solution gives the times when the cars were 10 miles apart. Solve the equation. Interpret the meaning of the result.
A. 
= 10; x = 3 or x = 13; After 3 minutes or after 13 minutes the cars were 10 miles apart.
B. 
= -16; No solution; The cars will never be 10 miles apart.
C. 
= 10; x = 6 or x = 26; After 6 minutes or after 26 minutes the cars were 10 miles apart.
D. 
= 6; x = 3 or x = -3; After 3 minutes or 3 minutes earlier the cars were 10 miles apart.
Name the property illustrated.5(x + 4) = 5x + 5 ? 4
A. identity property of addition B. commutative property of addition C. distributive property D. associative property of multiplication