The following equation represents the total distance (d) that the Benson family has
traveled from their home after traveling 100 miles to pick up their grandparents for a
family vacation, given the time (t) traveled from the grandparents’ home, and driving at
a rate of 45 mph.
Determine how far from their home the Bensons will be after 5 12
hours of driving with their grandparents.
d=45t+100
(1 point)
Responses
347.5 miles
347.5 miles
302.5 miles
302.5 miles
284.5 miles
284.5 miles
292.5miles
To determine how far from their home the Bensons will be after 5.5 hours of driving with their grandparents, we can plug in t = 5.5 into the equation d = 45t + 100:
d = 45(5.5) + 100
d = 247.5 + 100
d = 347.5
Therefore, the Bensons will be 347.5 miles from their home after 5.5 hours of driving with their grandparents.
To determine how far from their home the Bensons will be after 5.5 hours of driving with their grandparents, substitute the value of 5.5 into the equation d=45t+100:
d = 45(5.5) + 100
d = 247.5 + 100
d = 347.5 miles
The Bensons will be 347.5 miles away from their home after 5.5 hours of driving with their grandparents.