Linear Functions from Situations Practice

Question

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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)
Remaining Attempts : 3

Answer 1

To find the corresponding dependent variable (cost \( c \)) for a trip of 4.5 miles, we can use the linear function you provided:

\[ c = 0.75m + 4 \]

Here, \( m = 4.5 \) miles. Plugging in the value, we get:

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

Calculating the multiplication first:

\[ 0.75 \times 4.5 = 3.375 \]

Now, add 4 to that result:

\[ c = 3.375 + 4 = 7.375 \]

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

\[ c \approx 7.38 \]

Rounded to the nearest hundredth, the corresponding dependent variable (cost) for a distance of 4.5 miles is $7.38.