The distance when there'll be the same cost will be 2 miles.
From the information given, it was stated that 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.
Therefore, the equation to solve the question will be:
1 + 3m = 3 + 2m
3m - 2m = 3 - 1
m = 2
The distance will be 2 miles.
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Okay, let's see...
The problem is asking for a linear equation most likely in the form of y=mx+b
y is another way to say f(x)
m = slope
b = y intercept
Let's start with the y intercept first.
Y intercept means ' When does the line touch (intercept) the y axis.
In this case, if you look at the graph, the line touches the y axis at -1.
-1 will replaces b
To find the slope we are going to take 2 precise points from the graph.
Lets use (0,-1) and (-6,4)
To find the slope, we're going to use
4 - (-1) / -6 - 0
Solve, our slope is 5/-6
That is our m
Our final equation is