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.(1 point)

Answer 1

To find the corresponding dependent variable \( c \) when traveling 4.5 miles, we can substitute \( m = 4.5 \) into the linear equation:

\[ c = 0.75m + 4 \]

Now substitute \( m \):

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

Calculating \( 0.75 \times 4.5 \):

\[ 0.75 \times 4.5 = 3.375 \]

Now add 4 to this result:

\[ c = 3.375 + 4 = 7.375 \]

Thus, the cost \( c \) when traveling 4.5 miles is:

\[ c \approx 7.38 \]

Rounded to the nearest hundredth, the cost is $7.38.