The cost of taking a cab is $4 plus $0.75 per mile. This can be represented using the linear function c = 0.75m + 4, where c is the cost per trip and m is the distance in miles. Graph the equation on a coordinate plane. Based on your line, what would the corresponding dependent variable be if you were to travel 4.5 miles? Round your answer to the nearest hundredth.

To graph the equation \( c = 0.75m + 4 \), we can start by identifying a few points based on the equation. Let's calculate the cost \( c \) for some values of \( m \) (the distance in miles):

1. When \( m = 0 \): \[ c = 0.75(0) + 4 = 4 \] (Point: \( (0, 4) \))

2. When \( m = 1 \): \[ c = 0.75(1) + 4 = 0.75 + 4 = 4.75 \] (Point: \( (1, 4.75) \))

3. When \( m = 2 \): \[ c = 0.75(2) + 4 = 1.5 + 4 = 5.5 \] (Point: \( (2, 5.5) \))

4. When \( m = 3 \): \[ c = 0.75(3) + 4 = 2.25 + 4 = 6.25 \] (Point: \( (3, 6.25) \))

5. When \( m = 4 \): \[ c = 0.75(4) + 4 = 3 + 4 = 7 \] (Point: \( (4, 7) \))

6. When \( m = 4.5 \): \[ c = 0.75(4.5) + 4 = 3.375 + 4 = 7.375 \] (Point: \( (4.5, 7.375) \))

Now that we have these points, we can create a graph of the equation on a coordinate plane with \( m \) on the x-axis and \( c \) on the y-axis.

To answer the second part of your question, when you travel \( 4.5 \) miles, the corresponding dependent variable \( c \) would be \( 7.375 \).

Rounding to the nearest hundredth gives:

\[ \boxed{7.38} \]