Question

Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work

Answer 1

Answer: (2,7) at 2 miles they both will cost $7


BERT
y=1+3x

MEDELINE
y=3+2x

LINEAR EQUATION
1+3x=3+2x
-2x both sides
1+x=3
-1 both sides
x=2

y=1+3(2)
multiply 3*2
y=1+6
y=7

i hope it’s correct <3 comment if any questions ;)