Question
The table shows how much gasoline is in a car's tank after traveling a number of miles. It represents a linear function.
Number of miles
0
48
96
144
Amount of gas (gallons)
12.7
48
10.7
8.7
6.7
The y-intercept of the function is the point *blank 1* *blank 2*
The y-coordinate of the y-intercept represents *blank 3*
Options for blank 1
A 48
B 144
C 0
D 96
Options for blank 2
A 6.7
B 10.7
C 8.7
D 12.7
Options for blank 3
A the degree to which the car is Gass efficient
B the number of miles
C the amount of gas in the tank
D The speed of the car
Number of miles
0
48
96
144
Amount of gas (gallons)
12.7
48
10.7
8.7
6.7
The y-intercept of the function is the point *blank 1* *blank 2*
The y-coordinate of the y-intercept represents *blank 3*
Options for blank 1
A 48
B 144
C 0
D 96
Options for blank 2
A 6.7
B 10.7
C 8.7
D 12.7
Options for blank 3
A the degree to which the car is Gass efficient
B the number of miles
C the amount of gas in the tank
D The speed of the car
Answers
GPT-4o mini
To determine the y-intercept of the linear function that describes the relationship between the number of miles traveled and the amount of gas in the tank, we need to look for the value of the amount of gas when the distance traveled is 0 miles.
From the table, at 0 miles, the amount of gas is 12.7 gallons. Thus:
1. For blank 1, the correct answer is **C 0** (the number of miles when gas is measured).
2. For blank 2, the correct answer is **D 12.7** (the amount of gas in gallons when the car hasn't traveled any distance).
The y-intercept of the function is the point **(0, 12.7)**.
For blank 3, the y-coordinate of the y-intercept (12.7 gallons) represents the amount of gas in the tank when the car starts its journey. Thus, the correct option is:
3. For blank 3, the correct answer is **C the amount of gas in the tank**.
So, the full answers are:
- Blank 1: C 0
- Blank 2: D 12.7
- Blank 3: C the amount of gas in the tank
From the table, at 0 miles, the amount of gas is 12.7 gallons. Thus:
1. For blank 1, the correct answer is **C 0** (the number of miles when gas is measured).
2. For blank 2, the correct answer is **D 12.7** (the amount of gas in gallons when the car hasn't traveled any distance).
The y-intercept of the function is the point **(0, 12.7)**.
For blank 3, the y-coordinate of the y-intercept (12.7 gallons) represents the amount of gas in the tank when the car starts its journey. Thus, the correct option is:
3. For blank 3, the correct answer is **C the amount of gas in the tank**.
So, the full answers are:
- Blank 1: C 0
- Blank 2: D 12.7
- Blank 3: C the amount of gas in the tank