Alexis needs a ride to the airport. She is deciding between two options: Option A is a shuttle that charges a flat rate of $63. Option B is a cab that charges an initial fee of $3.50 plus an additional $1.75 for every mile traveled. For what number of miles will Option B cost less than Option A? Let m represent the number of miles.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

your answer is b ^w^ hope i

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step-by-step explanation:

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