Question

Deondra took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $2 per mile. The total fare was $47.20, not including the tip. How many miles was the taxi ride?

Answer 1

Answer:

22 miles

Step-by-step explanation:

Let's create some variables :

⇒ total fare = y

⇒ number of miles = x

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Making the equation :

⇒ y = mx + b

⇒ m = rate per mile

⇒ b = pick-up fee

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Given :

⇒ y = $47.20

⇒ m = $2

⇒ b = $3.20

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Substituting and solving :

⇒ 47.20 = 2x + 3.20

⇒ 2x = 47.20 - 3.20

⇒ 2x = 44

⇒ x = 22 miles

Answer 2

• Pick up fee(Fixed)=$3.20

This is our y intercept

• Rate of pay=$2 per mile

This is our slope or rate of change

So

The equation becomes

• d=2m+3.20

Where m is miles driven

• 47.20=2m+3.20
• 2m=44.00
• m=22.0miles