models Carli’s road trip, with her speed measured in miles per hour. The graph includes the two hours of stops she’ll make. Using this information, define which quantity describes the x-axis.(1 point)
Responses
speed traveled
direction traveled
time in hours
miles traveled
3 answers
In the context of the function \( y = 80x + 2 \) modeling Carli's road trip, where the y-axis represents the speed (in miles per hour) and the graph includes the two hours of stops, the quantity that describes the x-axis is:
time in hours.
The variable \( x \) typically represents time in such a function related to speed and travel.
To determine which points would appear on the graph of the linear function \( C = 1.25m + 25 \), we can calculate the total cost \( C \) for given values of \( m \) (the miles driven).
For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] So, the point is \( (2, 27.5) \).
For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] So, the point is \( (4, 30) \).
For \( m = 30 \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] So, the point is \( (30, 62.5) \).
For \( m = 35 \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] So, the point is \( (35, 68.75) \).
Based on these calculations, the only points that match our results are \( (4, 30) \) and \( (2, 27.5) \).
Comparing the available options, we see that the correct pair of points is:
(4, 30) and (2, 27.5)
However, since that specific option is not listed, the only pair available that contains (4, 30) is (4, 30), but it should ideally include (2, 27.5) based on calculations. The correct response thus is (4, 30).
