10. a cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled.

a. write an expression that can be used to determine the total cab fare for a distance of m miles.

b. when sara arrived at your destination, her cab fare was $7.50. write an equation to represent this
situation.

c. how many miles did sara travel?

d. the cab company runs a promotion on holidays. the flat rate and the fee per mile are the same, but there is a $1 discount off the fare when the distance traveled is greater than 10 miles. explain.

e. lupe’s cab fare on a holiday was $7.50. did lupe travel more than 10 miles? justify your answer.

A cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled.

Part A:

Let the miles traveled be m

Total fare =

Part B:

When Sara arrived at your destination, her cab fare was $7.50.

Equation becomes:

Part C:

Solving for m in part B.

m = 11 miles

Part D:

The flat rate and the fee per mile are the same, but there is a $1 discount off the fare when the distance traveled is greater than 10 miles.

So, when m is greater than 10 miles then $1 is discount.

So, like when m = 11, The charges will be

Part E:

Lupe’s cab fare on a holiday was $7.50. No he did not travel more than 10 miles. Because he would have paid $6.50 if he traveled more than 10 miles.

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step-by-step explanation:

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use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative