Answers TN-Algebra II B SC 26-27 For CreditPiecewise Defined Functions

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Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride, Jeremiah came up with the equation P = 1.80 + 2.50, where x is the number of miles or partial miles traveled in the taxi.Explain the meaning of the constant 2.50 as it relates to the situation.

$2.50 is the base amount that Jeremiah must pay in order for the taxi to pick him up before he has been driven anywhere.

$2.50 is the amount Jeremiah must pay as long as the taxi has not driven a complete mile.

For every mile or partial mile the taxi drives, Jeremiah must pay an additional $2.50.

Jeremiah must pay $2.50 plus $1.80, or $4.30, per mile for each taxi ride.

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What is the value of ?

3.5

3.6

What is the value of ?

–5

–4.6

–4.5

–4

For which x-values is the graph below discontinuous?

{...–3, –2, –1, 0, 1, 2, 3, ...}

{... –3, –1, 1, 3, ...}

{...–4, –2, 0, 2, 4, ...}

{...–3, –1, 0, 1, 3, ...}

Where is the graph of discontinuous?

all real numbers

all integers

only at multiples of 3

only at multiples of 4

The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C (in dollars) of sending the package is C = 23.50 + 3.80, x > 0, where x is the weight (in pounds). What is the meaning of the coefficient 3.80 in the context of the problem?

When the package weighs less than one pound, the price of the package is $3.80.

For every pound that the package weight increases, the price of sending it increases by $3.80.

For every pound that the package weight increases, the price of sending it increases by $23.50.

When the package weighs less than one pound, the price of the package is $23.50.

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. Which equation represents the cost, in dollars, of shipping a package that weighs x pounds?

, where x > 0