The cost, in dollars, of a one day car rental is given by C(x)=37+0.15x where x is the number of miles driven.
What is the meaning of the value C(0)? use a complete sentence to answer the question
Determine the total cost if 300 miles are driven. Use Correct notation and units in your answer
a)
C(0) basically tells you what the minimum cost of a one day car rental, without travelling any distance, is.
C(0) = zero miles driven = 37 + (0)0.15 = 37
b)
When x = 300,
C(x) = 37 + 0.15(300)
= 37 + 45
= $82
The meaning of the value C(0) is the cost, in dollars, of a one day car rental when no miles are driven.
To determine the total cost if 300 miles are driven, we substitute 300 for x in the function C(x):
C(300) = 37 + 0.15(300)
C(300) = 37 + 45
C(300) = 82
Therefore, if 300 miles are driven, the total cost would be $82.
To determine the meaning of the value C(0), we substitute 0 for x in the equation C(x)=37+0.15x.
C(0) = 37+0.15(0)
Simplifying the expression:
C(0) = 37+0
C(0) = 37
Therefore, the meaning of the value C(0) is that it represents the cost of a one-day car rental without driving any miles, which is $37.
Now, to determine the total cost if 300 miles are driven, we substitute 300 for x in the equation C(x)=37+0.15x.
C(300) = 37+0.15(300)
Simplifying the expression:
C(300) = 37+45
C(300) = 82
Thus, the total cost for the one-day car rental with 300 miles driven would be $82.