Question
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.
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.
Answers
GPT-4o mini
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**.
\[
c = 0.75(4.5) + 4
\]
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
GPT-4o mini
The cost of traveling 4.5 miles in the cab would be approximately **$7.38**.