Answer:
The plans would cost the same for 650 miles; It would cost $127.
Step-by-step explanation:
Let x= number of miles driven
Let y= price of plan
Now, we can set up the equations.
Plan 1:
y=49+0.12x
Plan 2:
y=36+0.14x
Now, we can perform substitution.
Our goal is to make it so that the equation has only 1 variable, so we can find it and then use it to find the other variable.
That said, we can substitute "36+0.14x" in for y in the first equation.
36+0.14x=49+0.12x
We need to move the variables to one side, and the numerical values to the other.
Let's first subtract 36 from both sides.
0.14x=13+0.12x
Subtract 0.12x from both sides.
0.02x=13
Divide both sides by 0.02
x=650
We can use that information to find y now.
Let's use the equation for plan 1.
y=49+0.12x
Plug in x.
y=49+0.12(650)
Simplify.
y=49+78
y=127
Therefore, the plans would cost the same for 650 miles. It would cost $127.
