Answer: Rita needs to drive 200 miles for the cost to be the same.
Step-by-step explanation:
The first plan could be represent by the equation y = 0.08x + 65.96 where x is the number of miles and y is the total cost.
The second plan could also be represented by the equation y=0.13x + 55.96 where x is the number of miles and y is the total cost.
y = 0.08x + 65.96 solve both equations by letting them equal each other.
y=0.13x + 55.96
0.08x + 65.96 = 0.13x + 55.96
-0.08x 0.08x
65.96 = 0.05x + 55.96
-55.96 -55.96
0.05 x= 10
x= 200
Now plot the value of x into one of the equations and solve for y
y= 0.13(200) + 55.96
y= 81.96
