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

𝑐
=
0.75
𝑚
+
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.

3 answers

To find the cost of a cab ride for 4.5 miles using the equation \( c = 0.75m + 4 \), we can substitute \( m = 4.5 \) into the equation.

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

Calculating \( 0.75 \times 4.5 \):

\[ 0.75 \times 4.5 = 3.375 \]

Now, adding this to the fixed cost:

\[ c = 3.375 + 4 = 7.375 \]

Now, rounding to the nearest hundredth:

\[ c \approx 7.38 \]

Thus, the corresponding dependent variable (cost, \( c \)) for traveling 4.5 miles would be approximately $7.38.

what the answer

The cost of traveling 4.5 miles in the cab would be approximately $7.38.