Question

gallons(x) Cost (y) in dollars
3 10.50
4 14.00
5 17.50
At gas satation B the relation ship between gallons of gas(x) and the cost(y) is represented by the equation y=4x

Prt a identify the unit rate (slope) for each gas station
which one has a lower cost per gallon

Answer 1

To identify the unit rate (slope) for each gas station, we can find the cost per gallon for both gas stations based on the given data.

### Gas Station A:
Using the data provided:

- For 3 gallons: Cost is \$10.50
Unit rate = Cost / Gallons = 10.50 / 3 = \$3.50 per gallon

- For 4 gallons: Cost is \$14.00
Unit rate = Cost / Gallons = 14.00 / 4 = \$3.50 per gallon

- For 5 gallons: Cost is \$17.50
Unit rate = Cost / Gallons = 17.50 / 5 = \$3.50 per gallon

The unit rate (cost per gallon) for Gas Station A is **$3.50**.

### Gas Station B:
The relationship between gallons of gas (x) and the cost (y) is given by the equation \(y = 4x\).

For Gas Station B, the cost per gallon can be calculated directly from the equation.

Unit rate = 4 (since the equation indicates that cost increases by \$4 for each additional gallon).

The unit rate (cost per gallon) for Gas Station B is **$4.00**.

### Comparison:
- Gas Station A: \$3.50 per gallon
- Gas Station B: \$4.00 per gallon

**Conclusion:** Gas Station A has a lower cost per gallon ($3.50) compared to Gas Station B ($4.00).