Erin is training for a marathon and wants to run at least 14 1/2 miles. she has already run 3 7/8 miles and starts to jog at a steady rate of 8 1/2 miles per hour. write an inequality using the time t, in hours, to find the possible amounts of time remaining for her jog.

time ≥ 1 1/4 hours

Step-by-step explanation:

She wants to run 14 1/2 miles

She has already run 3 7/8 miles

miles left to run = 14 1/2 - 3 7/8 = 10.625 miles

speed = distance/time

isolating time:

time = distance/speed

Her jogging speed is 8 1/2 miles/hour. Then, time will be:

time ≥ 10.625 /(8 1/2)

time ≥ 1 1/4 hours

If she maintains her speed, she will be jogging for 1 hour and 15 minutes, but if her speed drops, she will last more time

∞ this is your sign