SOLUTION: I need to translate this into an equation and solve it showing all of my work and I do not know how Car rental agency A will rent a compact car for $35 per day and an additional

Algebra ->  Sequences-and-series -> SOLUTION: I need to translate this into an equation and solve it showing all of my work and I do not know how Car rental agency A will rent a compact car for $35 per day and an additional      Log On


   

Question 142439This question is from textbook Survey of Math w/ Apllications
: I need to translate this into an equation and solve it showing all of my work and I do not know how
Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Thank you so much This question is from textbook Survey of Math w/ Apllications

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A=3*35+.24X (RED LINE)
B=3*41+.16X (GREEN LINE)
3*41+.16X<=3*35+.24X
123+.16X<=105+.24X
.16X-.24X<=105-123
-.08X<=-18
X>=-18/-.08 [DIVIDING BY A MINUS NUMBER CHANGES THE < SIGN TO THE > SIGN]
X>=225 MILES WILL MAKE BOTH RENTALS COST THE SAME.
THEREFORE ANY MILEAGE MORE THAN 225 MILES MAKES PLAN B A BETTER BUY.
+graph%28+300%2C+300%2C+-36%2C+280%2C+-10%2C+200%2C+.24x+%2B105%2C+.16x+%2B123%29+ (graph 300x300 pixels, x from -36 to 280, y from -10 to 200, of TWO functions .24x +105 and .16x +105).