Mathematical Models Problem Solving

A taxicab driver charges a flat rate of $2.50 plus $1.50 per mile. The fare F (in dollars) is a function of the distance driven, x (in miles). What is the independent and dependent variables in the situation?

• Independent variable is the fare and dependent is the miles driven

• Independent variable is the miles driven and the dependent is the fare.

• Independent is $2.50 and dependent is $1.50

• Independent variable is the taxi driver and the dependent variable is the passenger.

A taxicab driver charges a flat rate of $2.50 plus $1.50 per mile. The fare F (in dollars) is a function of the distance driven, x (in miles). Which function below most accurately demonstrates the situation?

• F = 2.50 + 1.50x

• F = 2.50x + 1.50

• x = 2.50F + 1.50

• x = 2.50 + 1.50F

A taxicab driver charges a flat rate of $2.50 plus $1.50 per mile. The fare F (in dollars) is a function of the distance driven, x (in miles). What is the fare if the miles driven is 15 miles?

• $39

• $17.50

• $22.50

• $25

A taxicab driver charges a flat rate of $2.50 plus $1.50 per mile. The fare F (in dollars) is a function of the distance driven, x (in miles). How many miles was driven if a customer was charged $38.50?

• 24 miles

• 18 miles

• 30 miles

• 36 miles

A taxicab driver charges a flat rate of $2.50 plus $1.50 per mile. The fare F (in dollars) is a function of the distance driven, x (in miles). Which of the following could be considered a practical domain for the situation?

•  $-\infty<x<\infty$  

•  $0<x<1000$  

•  $-30\le x\le30$  

•  $0\le x\le30$  

A taxicab driver charges a flat rate of $2.50 plus $1.50 per mile. The fare F (in dollars) is a function of the distance driven, x (in miles). Which of the following could be considered a practical range for the situation?

•  $-\infty<F<\infty$  

•  $0<F<\text{47.50}$  

•  $-30\le F\le30$  

•  $0\le F\le30$  

Solve the equation for x.  $24\ =\ 32\ -\ 2x$ 

• x = -4

• x = -28

• x = 4

• x = 28

 $f\left(x\right)=3x-17$  Find the value of  $f\left(11\right)$  .

•  $f\left(11\right)=16$  

•  $f\left(11\right)=11$  

•  $x=11$  

•  $x=33$  

In a situation where $f\left(h\right)$  equals your gross pay and h equals hours, what does  $f\left(15\right)\ =\ 225$  mean for the specific situation?

• It means 225 hours equals $15.

• It means 15 equals 225

• It means 225 is the answer.

• It means when you work 15 hours, you earn $225.