Question

The table shows how much gasoline is in car's tank after traveling a numve4 of miles. It represents a linear function

Number of miles 0 48 96 144
Amount of gas (gallons) 12.7 10.7 8.7 6.7



The y-intercept of the function is the point (*blank 1*, *blank 2*)

Options for blank 1

A 0
B 48
C 144
D 96

Options of blank 2

A 10.7
B 8.7
C 6.7
D 12.7

The y-coordinate of the y-intercept represents *blank 3*

A the degree to which the car is gas efficient

B the speed of the car

C the number of miles

D the amount of gas in the tank

Answer 1

To find the y-intercept of the linear function represented by the provided data:

1. **Finding the y-intercept:**
The y-intercept occurs when the number of miles is zero (x = 0). According to the table, when the number of miles is 0, the amount of gas is 12.7 gallons.

Therefore, the y-intercept is the point (0, 12.7).

- **Blank 1**: The answer is **A 0**
- **Blank 2**: The answer is **D 12.7**

2. **Y-coordinate interpretation:**
The y-coordinate of the y-intercept (12.7) represents the amount of gas in the tank when no miles have been traveled.

- **Blank 3**: The answer is **D the amount of gas in the tank**

So, the final answers are:
- Blank 1: A 0
- Blank 2: D 12.7
- Blank 3: D the amount of gas in the tank