Mathematics
Grade10
Easy

Question

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

list the interval on which the graph is increasing, and explain what it represents

  1. 0 < x ≤ 150 , if the distance is greater than 150 miles, cost remains the same
  2. x > 150 , if the distance is greater than 150 miles, cost keeps increasing in a linear manner
  3. x ≥ 150 , if the distance is greater than 150 miles, cost keeps increasing in a linear manner
  4. 0 < x < 150 , if the distance is greater than 150 miles, cost remains the same

hintHint:

We observe the graph closely and find out the results accordingly.

The correct answer is: x > 150 , if the distance is greater than 150 miles, cost keeps increasing in a linear manner


    Step 1 of 1:

    Observe that, for a distance greater than 150 miles, the cost keeps increasing in a linear manner.
    So, the interval should be x > 150.
    Final Answer:
    The right choice is- a. x > 150, if the distance is greater than 150 miles, the cost keeps increasing in a linear manner.

    Related Questions to study

    Grade10
    Mathematics

    The graph of the relationship between the distance traveled and the cost of a car rental is shown.

    List the interval at which the graph is constant and explain what it represents

    The graph of the relationship between the distance traveled and the cost of a car rental is shown.

    List the interval at which the graph is constant and explain what it represents

    MathematicsGrade10
    Grade-10
    Maths

    Find the vertex of the function. f(x) = Ix – 2I + 4

    Find the vertex of the function. f(x) = Ix – 2I + 4

    MathsGrade-10
    Grade10
    Mathematics

    A piecewise-defined function is shown.
    straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign right columnspacing 1em end attributes row cell straight x minus 1 comma straight x less than straight n end cell row cell negative straight x plus 4 comma straight x greater or equal than straight n end cell end table close
    select the correct option mentioned below.
    Statement 1: If the value of n changes, then the range of the function also changes.
    Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

    A piecewise-defined function is shown.
    straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign right columnspacing 1em end attributes row cell straight x minus 1 comma straight x less than straight n end cell row cell negative straight x plus 4 comma straight x greater or equal than straight n end cell end table close
    select the correct option mentioned below.
    Statement 1: If the value of n changes, then the range of the function also changes.
    Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

    A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

    MathematicsGrade10
    Grade10
    Mathematics

    Express the function as a piecewise-defined function.
    f(x) = -2 IxI

    Express the function as a piecewise-defined function.
    f(x) = -2 IxI

    MathematicsGrade10
    Grade10
    Mathematics

    Express the function as a piecewise-defined function.
    f(x) = 5IxI

    Express the function as a piecewise-defined function.
    f(x) = 5IxI

    MathematicsGrade10
    parallel
    Grade-10
    Maths

    The evaluation of the function f(x) = [x], x = 2.65 is ____.

    The evaluation of the function f(x) = [x], x = 2.65 is ____.

    MathsGrade-10
    Grade-10
    Maths

    The piecewise-defined function of f(x) = 2|x| is _____.

    The piecewise-defined function of f(x) = 2|x| is _____.

    MathsGrade-10
    Piecewise-Functions
    10th-Grade-Math---USA

    Identify the function from the graph

    Identify the function from the graph

    10th-Grade-Math---USAPiecewise-Functions
    parallel
    Piecewise-Functions
    10th-Grade-Math---USA

    left ceiling 2.4 right ceiling minus left floor 2.4 right floor =

    left ceiling 2.4 right ceiling minus left floor 2.4 right floor =

    10th-Grade-Math---USAPiecewise-Functions
    Piecewise-Functions
    10th-Grade-Math---USA

    The function having the same graph as f(x) = 4|x – 2| + 2 is

    The function having the same graph as f(x) = 4|x – 2| + 2 is

    10th-Grade-Math---USAPiecewise-Functions
    Piecewise-Functions
    10th-Grade-Math---USA

    open floor 5.1 close floor =

    open floor 5.1 close floor =

    10th-Grade-Math---USAPiecewise-Functions
    parallel
    Piecewise-Functions
    10th-Grade-Math---USA

    open ceil 5.1 close ceil =

    open ceil 5.1 close ceil =

    10th-Grade-Math---USAPiecewise-Functions
    Piecewise-Functions
    10th-Grade-Math---USA

    Let f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space 0 less or equal than x less than 4 end cell row cell x plus 4 end cell cell space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space 6 less or equal than x less or equal than 8 end cell end table close then the domain of f is

    Let f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space 0 less or equal than x less than 4 end cell row cell x plus 4 end cell cell space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space 6 less or equal than x less or equal than 8 end cell end table close then the domain of f is

    10th-Grade-Math---USAPiecewise-Functions
    Piecewise-Functions
    10th-Grade-Math---USA

    Let f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space space x less than 4 end cell row cell x plus 4 end cell cell space space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space space 6 less than x end cell end table close then the value of  f(f(3)) is

    Let f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space space x less than 4 end cell row cell x plus 4 end cell cell space space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space space 6 less than x end cell end table close then the value of  f(f(3)) is

    10th-Grade-Math---USAPiecewise-Functions
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.