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

Question

, 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

Answer 1

To find the corresponding dependent variable (cost \( c \)) for a distance of \( 4.5 \) miles using the given linear function \( c = 0.75m + 4 \), we can substitute \( m = 4.5 \) into the equation.

\[ c = 0.75(4.5) + 4 \]

Now we calculate the multiplication:

\[ 0.75 \times 4.5 = 3.375 \]

Then we add \( 4 \):

\[ c = 3.375 + 4 = 7.375 \]

Now, rounding to the nearest hundredth:

\[ c \approx 7.38 \]

So, the corresponding dependent variable (the cost of the trip) when traveling \( 4.5 \) miles is approximately $7.38.

For the graph, you would plot the line \( c = 0.75m + 4 \) with:

• y-intercept at \( (0, 4) \) (the base fare)
• slope of \( 0.75 \) (which indicates increasing cost per mile).

To plot:

1. Start at the intercept (0, 4).
2. From (0, 4), move up \( 0.75 \) units for every \( 1 \) unit you move to the right (increase in miles).
3. Draw the line through these points.

The line will continue indefinitely as both the distance and cost can theoretically increase without bound.

Answer 2

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Answer 3

The corresponding dependent variable (cost \( c \)) for traveling \( 4.5 \) miles is approximately $7.38.