THIS IS DUE TODAY
A taxi company charges one-time base fee of $ 3 and $ 1.75 per mile. Explain how to write an expression which represents the total taxi fare for m miles in two different ways.

3 + 1.75m

This represents 1.75 per mile plus a one time 3 charge.

Another way this can be written is

(1.75m + 6) - 3

This is a less efficient way, but represents the same. It is 1.75 per mile, this is plus 6, therefore we add the -3 outside the parenthesis so it evens out to +3 as the base charge.

Example: Lets say its 3 miles.

3 + 1.75 (3) = 8.25

(1.75 (3) + 6) - 3 = 8.25

When m= 0,25

(8m-m ) + 3

3+ 8m-1/4m

With the first one you can add any number of miles infront of the brackets; ie) 4 miles

4(8m-m) +3 = 0.25t

32m-4m /28 (+3) = 0.25t x 28

28m +3 = 0.25t x 28

28m + 3 = 7t + 3t

31m = 10t

Step-by-step explanation:

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