Question

Katie can walk at a rate of 4 miles per hour. Her total distance in t hours is d.

Answer 1

To find Katie's total distance traveled, multiply her walking rate of 4 miles per hour by the number of hours walked, using the formula d = r × t. A graph of position versus time would be a straight line with a slope of 4, representing the constant walking rate.

Step-by-step explanation:

To calculate the total distance Katie travels in t hours at a rate of 4 miles per hour, we use the formula d = r × t, where d is the total distance, r is the rate of walking, and t is the time in hours. Since Katie's rate r is 4 miles per hour, the equation becomes d = 4t.

For example, if Katie walks for 3 hours (t = 3), we calculate the total distance as d = 4 × 3 = 12 miles.

To make a graph of position versus time, you would plot the time t on the horizontal axis (x-axis) and the position or distance d on the vertical axis (y-axis). The graph would be a straight line starting at the origin (0,0) and with a slope equal to Katie's walking rate of 4 miles per hour, indicating a linear relationship between time and distance.

Answer 2

4t miles per hour

Step-by-step explanation:

Distance refers to the amount of space an object can cover within a period of time. It can be calculated by multiplying speed and time.

Distance= speed × time

Speed is the rate of movement of an object from one place to another.

Speed= Distance/Time.

Time= distance/speed.

If Katie walks at the rate of 4miles per hour.

Her total distance in the hours is d

Total distance= speed× time

Her speed=4miles per hour

Time= t

Katie's total distance=4 miles per hour× t

=4t miles per hour