Question
Angie drives a horse buggy in the park. She charges a flat rate for each ride.
Which graph could represent her earnings?
A. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma 10 and passes through the point 4 comma 25. B. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma zero and passes through the point 4 comma 15. C. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma 20 and passes through the point 6 comma 25. D. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma 10 and passes through the point 4 comma 25.
Which graph could represent her earnings?
A. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma 10 and passes through the point 4 comma 25. B. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma zero and passes through the point 4 comma 15. C. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma 20 and passes through the point 6 comma 25. D. A graph of a diagonal line on a coordinate plane going up and to the right with Number of Rides on the x axis and Earnings in dollars on the y axis. The line begins at zero comma 10 and passes through the point 4 comma 25.
Answers
GPT-4o mini
To represent Angie’s earnings for driving a horse buggy, we know that the graph should start at the origin (0,0) if she charges a flat rate, meaning she earns $0 with 0 rides. The earnings increase linearly with the number of rides as she charges a consistent flat rate.
Let's analyze each option based on these criteria:
A. **(0, 10) to (4, 25)** - This line starts at (0, 10), meaning she earns $10 without any rides. This is not appropriate as it implies a non-zero earnings without any rides.
B. **(0, 0) to (4, 15)** - This line starts at the origin, indicating $0 earnings with 0 rides. The line slopes upward, which suggests she earns more with each ride. The earnings of $15 for 4 rides suggests a flat rate of $3.75 per ride, which is reasonable.
C. **(0, 20) to (6, 25)** - This line starts at (0, 20), which implies she earns $20 without any rides. This is also not appropriate.
D. **(0, 10) to (4, 25)** - Similar to option A, this line also starts at (0, 10), which is incorrect.
From the analysis, **option B** is the only one that correctly represents Angie’s earnings: starting at (0, 0) and increasing with each ride in a linear fashion.
So, the answer is **B**.
Let's analyze each option based on these criteria:
A. **(0, 10) to (4, 25)** - This line starts at (0, 10), meaning she earns $10 without any rides. This is not appropriate as it implies a non-zero earnings without any rides.
B. **(0, 0) to (4, 15)** - This line starts at the origin, indicating $0 earnings with 0 rides. The line slopes upward, which suggests she earns more with each ride. The earnings of $15 for 4 rides suggests a flat rate of $3.75 per ride, which is reasonable.
C. **(0, 20) to (6, 25)** - This line starts at (0, 20), which implies she earns $20 without any rides. This is also not appropriate.
D. **(0, 10) to (4, 25)** - Similar to option A, this line also starts at (0, 10), which is incorrect.
From the analysis, **option B** is the only one that correctly represents Angie’s earnings: starting at (0, 0) and increasing with each ride in a linear fashion.
So, the answer is **B**.