Question

Diana is driving 182 miles to Orlando for a math convention. She has already driven x miles of th trip. If Diana drives below 70 miles per hour for the remainder of th trip, which inequality best represents the amount of time in hours, t, that is will take her to complete the remainder of her drve to Orlando?

My choices are:

t< 182 - x/70
t> 70/182 - x
T< 70/182 - x
t> 182 - x/70

I believe the is 182 - x/70, but I don't know if t is < or >. What is the correct answer? Thanks

Answer 1

Assume she goes 70 mph

distance remaining = 182-x
time to go that distance = (182-x)/70

but she goes slower than 70 mph, so the time would be greater than the above

t > (182-x)/70

None of your choices match this answer, unless you forgot the brackets when written this way.