Question

Choose the situations that state an appropriate domain for the function. Mark ALL that apply.

A) A function predicts the number of square feet in a house in terms of the number of bedrooms. An appropriate domain for the function is positive real numbers.
B) A grocery store sells salmon by the pound. The function C(x) represents the cost, in dollars, of x pounds of salmon. An appropriate domain for the function is positive rational numbers.
C) A ball was thrown into the air with an initial velocity of 65 feet per second. The height of the ball after t seconds is represented by the equation h = 65t − 16t2. An appropriate domain for the function is positive rational numbers.
D) A taxi company charges $2.50 plus $1.75 for each mile driven. A function C(x) shows how much a taxi fare cost. An appropriate domain of C(x) is all whole numbers.
E) Lindsay's lemonade stand sells lemonade for $0.75 per cup. Her daily profit is modeled by P(c) = 0.75c – 8.5 where profit, P, is a function of cups, c. An appropriate domain of P(c) is all integers.

Answer 1

B) A grocery store sells salmon by the pound. The function C(x) represents the cost, in dollars, of x pounds of salmon. An appropriate domain for the function is positive rational numbers.

C) A ball was thrown into the air with an initial velocity of 65 feet per second. The height of the ball after t seconds is represented by the equation h = 65t − 16t2. An appropriate domain for the function is positive rational numbers.

D) A taxi company charges $2.50 plus $1.75 for each mile driven. A function C(x) shows how much a taxi fare cost. An appropriate domain of C(x) is all whole numbers.