Judith drove h hours at a rate of 55 mi/h. She did not reach her goal of driving 385 miles for the day. How long did she drive? (I can solve if I have the inequality but I can't figure out what that is.)
clearly,
55h < 385
h < 7
So she obviously drove less than 7 hours, but we can't determine the actual time.
If she did not reach her goal then miles she drove must be less than 385 or miles she drove <385 so rate=55 miles per hour so miles driven=h times 55 subsitute 55 times h<385divide both sides by 55 h<7 she drove less than 7 hours inequality=55h<385h<7
Judith drove h hours at a rate of 55 mi/hr. She did not reach her
goal of driving 385 miles for the day. How long did she drive?
(hint: use distance formula d = rt
To determine the inequality that represents the given problem, we can use the formula: distance = rate × time.
Let's denote "h" as the number of hours Judith drove and "d" as the distance she covered. From the problem, we know that her rate of driving was 55 miles per hour, and her goal distance was 385 miles.
So, the formula becomes:
d = 55h
Since she did not reach her goal of 385 miles, we can express it as an inequality:
d < 385
Substituting the formula for distance, we have:
55h < 385
Now, we can solve the inequality to find the range of values for "h." Dividing both sides by 55, we get:
h < 7
Therefore, Judith drove for less than 7 hours in order to not reach her goal of 385 miles for the day.