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

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.(1 point)

Answer 1

To find the cost \( c \) when traveling \( m = 4.5 \) miles using the equation \( c = 0.75m + 4 \), we can substitute \( m \) into the equation:

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

Calculating the multiplication:

\[ 0.75 \times 4.5 = 3.375 \]

Now, we add this value to 4:

\[ c = 3.375 + 4 = 7.375 \]

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

Rounding this to the nearest hundredth, we get:

\[ c \approx 7.38 \]

So, the corresponding dependent variable \( c \) if you were to travel 4.5 miles would be $7.38.