Question

An airplane traveling from Chicago to Los Angeles travels 15 miles every 2 minutes. On the return trip, the plane travels 25 miles every 3 minutes. Graph each ratio relationship in the coordinate plane.

Answer 1

(6,45)

Step-by-step explanation:

To graph each ratio relationship in the coordinate plane, we can plot the ordered pairs (time, distance) for each leg of the trip. For the first leg from Chicago to Los Angeles, the plane travels 15 miles every 2 minutes. So we can plot the following points:

(0, 0) - starting point

(2, 15) - after 2 minutes, the plane has traveled 15 miles

(4, 30) - after 4 minutes, the plane has traveled 30 miles

(6, 45) - after 6 minutes, the plane has traveled 45 miles

(8, 60) - after 8 minutes, the plane has traveled 60 miles

We can plot these points on a coordinate plane, with time on the x-axis and distance on the y-axis. The resulting graph would show a straight line with a slope of 7.5 (rise of 15/2 and run of 1).

For the second leg from Los Angeles to Chicago, the plane travels 25 miles every 3 minutes. So we can plot the following points:

(0, 0) - starting point

(3, 25) - after 3 minutes, the plane has traveled 25 miles

(6, 50) - after 6 minutes, the plane has traveled 50 miles

(9, 75) - after 9 minutes, the plane has traveled 75 miles

(12, 100) - after 12 minutes, the plane has traveled 100 miles

We can plot these points on the same coordinate plane as the first leg. The resulting graph would also show a straight line with a slope of 8.33 (rise of 25/3 and run of 1).

The two graphs would intersect at the point (6, 45), which represents the halfway point of the round trip.

Answer 2

To graph each ratio relationship, plot points on the coordinate plane using the minutes as the x-values and the miles as the y-values.

Step-by-step explanation:

To graph each ratio relationship, we can use the coordinate plane.

For the first ratio relationship, where the airplane travels 15 miles every 2 minutes, we can plot points on the coordinate plane using the minutes as the x-values and the miles as the y-values. For example, when the airplane has been traveling for 2 minutes, it would be at a distance of 15 miles. So, we can plot the point (2, 15) on the coordinate plane.

Similarly, for the second ratio relationship, where the airplane travels 25 miles every 3 minutes, we can plot points using the minutes as the x-values and the miles as the y-values. For example, when the airplane has been traveling for 3 minutes, it would be at a distance of 25 miles. So, we can plot the point (3, 25) on the coordinate plane.