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Tricycle Fare: Linear Model Quiz

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Tricycle Fare: Linear Model Quiz

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Linear fare math practice

Created by

Michaela Lipana
Michaela Lipana
Philippines

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Tricycle Fare: Linear Model Quiz
 

Tricycle Fare: Linear Model QuizOnline version

Linear fare math practice

by Michaela Lipana
1

You are a student teacher traveling from Bulacan State University to Alexis G. Santos National High School. The tricycle fare is ₱15.00 for the first 2 kilometers (base fare) and ₱5.00 for every additional kilometer (x). Which equation models the ride cost if base fare is 15 for 2 km and 5 per extra km for total 35?

2

2) Using 5x + 15 = 35, which property starts isolating x?

3

3) Solve 5x + 15 = 35. What is x (extra km beyond 2 km)?

4

4) If you substitute x = 4, does 5x + 15 equal 35?

5

5) If x = 6, what should the fare be using 5x + 15?

6

6) If the total fare is 55, what is x in 5x + 15 = 55?

7

7) What is the base distance covered by the base fare 15?

8

8) If total distance is 10 km, what is the total fare using base 15 and 5 per extra km?

9

9) True or False: The equation 5x + 15 = 35 represents a constant base plus per-km charge.

10

10) If you paid 35 for a ride and the base fare is 15, how many extra kilometers did you travel?

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Correct modeling uses 15 plus 5x equals total.

Subtract 15 from both sides to isolate 5x.

5x = 20, so x = 4.

Plugging in confirms the total is 35.

5*6 + 15 = 45 total.

5x = 40, so x = 8.

Base fare covers the first 2 km.

Extra distance is 8 km; 15 + 5*8 = 55.

Base plus per-km rate is captured by 5x + 15.

(Total 35 − 15) / 5 = 4 km.

 
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