Explore BrainMass

Explore BrainMass

    A rental company charges $40.00 a day...Solve equations.

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A rental company charges $40.00 a day plus $0.34 per mile to rent a moving truck. The total cost, y, for a day's rental if x miles are driven is described by y = 0.34x + 40. A second company charges $32.00 a day plus $0.44 per mile, so the daily cost, y, if x miles are driven is described by y = 0.44x + 32. The graphs of the two equations are shown in the same rectangular coordinate system.

    a. Determine from the graph the x-coordinate of the intersection point of the two graphs.

    Describe what this x-coordinate means in practical terms. Choose the correct answer below.
    A. Both companies charge the same for 80 miles driven.
    B. Both companies charge the $80 for the same number of miles driven.
    C. The maximum amount of miles that can be driven is 80.
    D. The maximum amount that both companies charge is $80.

    b. Substitute the x-coordinate of the intersection point from part a into one of the two equations.

    Find the corresponding value for y.

    y = ?

    Describe what this value represents in practical terms. Choose the correct answer below.
    A. Both companies charge $67.20 for 80 miles driven.
    B. Both companies always charge more than $67.20.
    C. Both companies alyways charge less than $67.20.
    D. Both companies charge $67.20 for 67 miles driven.

    © BrainMass Inc. brainmass.com October 4, 2022, 3:49 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/rental-company-charges-day-solve-equations-483670

    Attachments

    SOLUTION This solution is FREE courtesy of BrainMass!

    Please find below the solution.

    (A)We have two equations

    y=0.34x+40 and

    y=0.44x+32

    where x is the miles driven and y is the total cost for a day's rental

    0.34x + 40 = 0.44x + 32
    0.34x - 0.44x = 32-40
    -0.10x = -8
    0.10x=8
    x= 8/0.10
    x=80

    now subsitute the value of x in first equation to get the value of y

    y=0.34(80) + 40
    y = 27.2 + 40
    y = 67.2

    So, (x,y) = (80,67.2) is the point of intersection

    Both companies charge the same for 80 miles driven.

    Option A is correct

    (B) Subsitute the value of x in first equation to get the value of y

    y=0.34(80) + 40
    y = 27.2 + 40

    y = 67.2

    Both the companies charge $67.20 for 80 miles driven

    Option A is correct.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 4, 2022, 3:49 pm ad1c9bdddf>
    https://brainmass.com/math/graphs-and-functions/rental-company-charges-day-solve-equations-483670

    ADVERTISEMENT