Question
a bicycle rental company charger $3 up front and $1 for every 15 minutes thereafter. Which graph best represents the cost of the bicycle rental over time? (choose the graph that has the described answer)
1. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 35 in increments of 5 and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Five unlabeled points are plotted as follows: left parenthesis 0 comma 3 right parenthesis, left parenthesis 5 comma 4 right parenthesis, left parenthesis 10 comma 5 right parenthesis, left parenthesis 15 comma 6 right parenthesis, left parenthesis 20 comma 7 right parenthesis. A solid arrow passes through these points.
2. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 9 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Four unlabeled points are plotted as follows: left parenthesis 0 comma 3 right parenthesis, left parenthesis 1 comma 4 right parenthesis, left parenthesis 2 comma 5 right parenthesis, left parenthesis 3 comma 6 right parenthesis. A solid arrow passes through these points.
3. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 90 in increments of 15 and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Five unlabeled points are plotted as follows: left parenthesis 0 comma 3 right parenthesis, left parenthesis 15 comma 4 right parenthesis, left parenthesis 30 comma 5 right parenthesis, left parenthesis 45 comma 6 right parenthesis, left parenthesis 60 comma 7 right parenthesis. A solid arrow passes through these points.
4. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 90 in increments of 15 and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Three unlabeled points are plotted as follows: left parenthesis 15 comma 0 right parenthesis, left parenthesis 30 comma 3 right parenthesis, left parenthesis 45 comma 6 right parenthesis. A solid arrow passes through these points.
1. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 35 in increments of 5 and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Five unlabeled points are plotted as follows: left parenthesis 0 comma 3 right parenthesis, left parenthesis 5 comma 4 right parenthesis, left parenthesis 10 comma 5 right parenthesis, left parenthesis 15 comma 6 right parenthesis, left parenthesis 20 comma 7 right parenthesis. A solid arrow passes through these points.
2. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 9 in 1 unit increments and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Four unlabeled points are plotted as follows: left parenthesis 0 comma 3 right parenthesis, left parenthesis 1 comma 4 right parenthesis, left parenthesis 2 comma 5 right parenthesis, left parenthesis 3 comma 6 right parenthesis. A solid arrow passes through these points.
3. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 90 in increments of 15 and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Five unlabeled points are plotted as follows: left parenthesis 0 comma 3 right parenthesis, left parenthesis 15 comma 4 right parenthesis, left parenthesis 30 comma 5 right parenthesis, left parenthesis 45 comma 6 right parenthesis, left parenthesis 60 comma 7 right parenthesis. A solid arrow passes through these points.
4. A coordinate graph shows the x-axis labeled as minutes ranging from 0 to 90 in increments of 15 and the y-axis labeled as dollars ranging from 0 to 10 in 1 unit increments. Three unlabeled points are plotted as follows: left parenthesis 15 comma 0 right parenthesis, left parenthesis 30 comma 3 right parenthesis, left parenthesis 45 comma 6 right parenthesis. A solid arrow passes through these points.
Answers
GPT-4o mini
To determine which graph best represents the cost of the bicycle rental, we can break down the pricing structure:
- There is an upfront charge of $3.
- After that, the cost is $1 for every 15 minutes.
Based on this pricing structure:
- At 0 minutes, the cost is $3 (the initial fee).
- At 15 minutes, the cost becomes $3 + $1 = $4.
- At 30 minutes, the cost becomes $3 + $2 = $5.
- At 45 minutes, the cost becomes $3 + $3 = $6.
- At 60 minutes, the cost becomes $3 + $4 = $7.
- At 75 minutes, the cost becomes $3 + $5 = $8.
- At 90 minutes, the cost becomes $3 + $6 = $9.
Now we can analyze which graph corresponds to these costs at these time intervals:
1. The first graph shows points (0, 3), (5, 4), (10, 5), (15, 6), (20, 7), which does not follow the expected incremental steps of the cost.
2. The second graph shows points (0, 3), (1, 4), (2, 5), (3, 6), which also does not align with the required increments.
3. The third graph shows points (0, 3), (15, 4), (30, 5), (45, 6), (60, 7), which is consistent with the rental cost structure and time intervals we calculated.
4. The fourth graph shows (15, 0), (30, 3), (45, 6), which does not match the expected pattern since the costs and intervals have discrepancies.
**Conclusion**: The best representation of the bicycle rental cost over time is given by **Graph 3**.
- There is an upfront charge of $3.
- After that, the cost is $1 for every 15 minutes.
Based on this pricing structure:
- At 0 minutes, the cost is $3 (the initial fee).
- At 15 minutes, the cost becomes $3 + $1 = $4.
- At 30 minutes, the cost becomes $3 + $2 = $5.
- At 45 minutes, the cost becomes $3 + $3 = $6.
- At 60 minutes, the cost becomes $3 + $4 = $7.
- At 75 minutes, the cost becomes $3 + $5 = $8.
- At 90 minutes, the cost becomes $3 + $6 = $9.
Now we can analyze which graph corresponds to these costs at these time intervals:
1. The first graph shows points (0, 3), (5, 4), (10, 5), (15, 6), (20, 7), which does not follow the expected incremental steps of the cost.
2. The second graph shows points (0, 3), (1, 4), (2, 5), (3, 6), which also does not align with the required increments.
3. The third graph shows points (0, 3), (15, 4), (30, 5), (45, 6), (60, 7), which is consistent with the rental cost structure and time intervals we calculated.
4. The fourth graph shows (15, 0), (30, 3), (45, 6), which does not match the expected pattern since the costs and intervals have discrepancies.
**Conclusion**: The best representation of the bicycle rental cost over time is given by **Graph 3**.