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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
, 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)
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To find the cost \( c \) when traveling 4.5 miles, you can substitute \( m = 4.5 \) into the linear function:
\[ c = 0.75m + 4 \]
Now, substitute \( m = 4.5 \):
\[ c = 0.75(4.5) + 4 \]
Calculating \( 0.75 \times 4.5 \):
\[ 0.75 \times 4.5 = 3.375 \]
Now, add 4:
\[ c = 3.375 + 4 = 7.375 \]
Rounding this to the nearest hundredth, the cost \( c \) is:
\[ c \approx 7.38 \]
Thus, the corresponding dependent variable (the cost) when traveling 4.5 miles is approximately $7.38.
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