Maths-
General
Easy

Question

The cost to rent a bike is $28 for the first day plus $2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?

hintHint:

  • The General formula of any AP is a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d.
  • A sequence is said to be arithmetic if the common difference is always constant.

The correct answer is: a8 = 42


    Explanation:
    • We have given a cost of rent of bike $28 for the first day plus$2 for each day after that.
    • We have to write an explicit formula for the rental cost for n days and cost of renting bike for 8 days.
    Step 1 of 2:
    We have given first day cost is $28 and for each more day $2 will be charged
    Here

    a1 = 28

    d = 2
    We know that general formula is an = a1 + (n - 1)d
    So,

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d end cell row cell a subscript n equals 28 plus left parenthesis n minus 1 right parenthesis 2 end cell row cell a subscript n equals 28 plus 2 n minus 2 end cell row cell a subscript n equals 2 n plus 26 end cell end table
    Step 2 of 2:
    Now, Cost of renting for 8 days will be

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 2 n plus 26 end cell row cell a subscript 8 equals 2 left parenthesis 8 right parenthesis plus 26 end cell row cell a subscript 8 equals 16 plus 26 end cell row cell a subscript 8 equals 42 end cell end table

    Related Questions to study

    General
    Maths-

    The daily attendance at an amusement park after day x is given by the function
    f(x) =fraction numerator 3.000 x over denominator x squared minus 1 end fraction.      On Approximately which day will the attendance be 1125 people ?

    The daily attendance at an amusement park after day x is given by the function
    f(x) =fraction numerator 3.000 x over denominator x squared minus 1 end fraction.      On Approximately which day will the attendance be 1125 people ?

    Maths-General
    General
    Maths-

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction

    Maths-General
    General
    Maths-

    Graph each function and identify the horizontal and vertical asymptotes
    r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2

    Graph each function and identify the horizontal and vertical asymptotes
    r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2

    Maths-General
    parallel
    General
    Maths-

    Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3

    Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3

    Maths-General
    General
    Maths-

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction

    Maths-General
    General
    Maths-

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1

    Graph each function and identify the horizontal and vertical asymptotes
    straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1

    Maths-General
    parallel
    General
    Maths-

    Write an equation of the line in slope-intercept form that passes through the point (-3, 5)  and is parallel to y equals negative 2 over 3 x
.

    Write an equation of the line in slope-intercept form that passes through the point (-3, 5)  and is parallel to y equals negative 2 over 3 x
.

    Maths-General
    General
    Maths-

    What is the graph of f(x table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table

    What is the graph of f(x table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table

    Maths-General
    General
    General

    Direction : Fill in the blank with correct letter.
    J _ _ p

    Direction : Fill in the blank with correct letter.
    J _ _ p

    GeneralGeneral
    parallel
    General
    English-One-to-One

    Direction : Identify the image and choose the correct word.

    Direction : Identify the image and choose the correct word.

    English-One-to-OneGeneral
    General
    General

    Caroline loves reading history.
    Which word is the gerund in the above sentence?

    Caroline loves reading history.
    Which word is the gerund in the above sentence?

    GeneralGeneral
    General
    General

    Direction : Complete the following sentences by choosing suitable words:

    The ____________ had a small birthday party celebration.

    Direction : Complete the following sentences by choosing suitable words:

    The ____________ had a small birthday party celebration.

    GeneralGeneral
    parallel
    General
    General

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Folio, Foliage

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Folio, Foliage

    GeneralGeneral
    General
    General

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Autograph, Biography.

    Direction : Identify the root word’s meaning in Greek or Latin for the following word:
    Autograph, Biography.

    GeneralGeneral
    General
    Maths-

    Arrange the following in descending order :
    cube root of 17 comma space square root of 12 comma space cube root of 21 comma space square root of 18

    Arrange the following in descending order :
    cube root of 17 comma space square root of 12 comma space cube root of 21 comma space square root of 18

    Maths-General
    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.