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GenaCL600 [577]
3 years ago
10

The cost, in dollars, of a one-day car rental, is given by C (x) = 31 + 0.18x, where x is the number of miles driven. In this fu

nction.
A) $ 0.18 is the cost per day to rent the car and $31 is the cost per mile.
B) $31 is the cost per day to rent the car and $0.18 is the cost per mile.
C) $18 is the cost per day to rent the car and $0.31 is the cost per mile.
D) $31 is the cost per day to rent the car and $18 is the extra cost for unlimited miles.
Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

hi

Step-by-step explanation:

the function is c(x) = 31 + 0.18*x

where $31 is a fixed cost, and $0.18 is the cost per mile drive (where the number of miles driven)

So the fixed cost, $31, is the cost per day of rent (this price does not depend on the number x), and the linear cost, $0.18, is the cost per mile driven (because this number is multiplied by x in the function), then the right answer is B: "$31 is the cost per day to rent the car and $0.18 is the cost per mile."

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Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

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