[Part A]
company A company B
A=3h+75 B=2h+85
definition of variables
A=company A
B=company B
h=number of hours used
[Part B]
company A would charge less for 5 hours
justification
company A company B
A=3(5)+75 B=2(5)+85
A=15+75 B=10+85
A=90 B=90
[Part C]
By using the services of company A instead of company B to rent a truck for three hours you save 7 dollars.
company A: A=3(3)+75 = 9+75= 84
company B: B=2(3)+85 = 6+85 = 91
difference: 91-84= 7
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
However, there is another solution route. We have a table with the values.
The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
f (0) = g (0) = 1
f (1) = g (1) = 1/2
answer
x = 0
x = 1
Note:
F (0) in the table is incorrect if the function is
f (x) = 0.5x
F (0) in the table is correct if the function is
f (x) = 0.5 ^ x
I = PRT....for R....divide both sides by PT
I / PT = R <==
