To find the cost of taking a cab for a trip of 4.5 miles, we will use the linear function you've provided:
\[ c = 0.75m + 4 \]
Where:
- \( c \) is the cost of the trip,
- \( m \) is the distance in miles.
Plugging in \( m = 4.5 \):
\[ c = 0.75(4.5) + 4 \]
Calculating \( 0.75 \times 4.5 \):
\[ 0.75 \times 4.5 = 3.375 \]
Now add 4 to that result:
\[ c = 3.375 + 4 = 7.375 \]
Rounding to the nearest hundredth:
\[ c \approx 7.38 \]
So, if you were to travel 4.5 miles, the corresponding dependent variable \( c \) would be approximately $7.38.
To graph the equation \( c = 0.75m + 4 \), you can plot the y-intercept (where \( m = 0 \), \( c = 4 \)) and another point (for example, \( m = 4 \), \( c = 4 + 3 = 7 \)). Then draw a line through these points. The slope of the line is 0.75, indicating that for every additional mile, the cost increases by $0.75.