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.

Answer 1

To find the cost \( c \) for traveling 4.5 miles using the linear function \( c = 0.75m + 4 \), we can substitute \( m \) with 4.5.

Start with the equation: \[ c = 0.75m + 4 \]

Substituting \( m = 4.5 \): \[ c = 0.75(4.5) + 4 \]

Now, calculate \( 0.75 \times 4.5 \): \[ 0.75 \times 4.5 = 3.375 \]

Now, plug that value back into the equation: \[ c = 3.375 + 4 \] \[ c = 7.375 \]

Therefore, the cost for traveling 4.5 miles is \( c = 7.375 \).

Finally, rounding to the nearest hundredth: \[ c \approx 7.38 \]

So the corresponding dependent variable (cost) for traveling 4.5 miles is $7.38.