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 find out how far from their home the Bensons will be after 5 1/2 hours of driving with their grandparents, we can substitute t = 5.5 into the equation:
d = 45t + 100
d = 45(5.5) + 100
d = 247.5 + 100
d = 347.5 miles
So the Bensons will be 347.5 miles from their home after 5 1/2 hours of driving with their grandparents. Therefore, the correct answer is:
347.5 miles
To determine how far from their home the Bensons will be after 5 1/2 hours of driving with their grandparents, you can substitute the value of time (t) into the equation:
d = 45t + 100
Using t = 5 1/2 hours, we can calculate:
d = 45(5 1/2) + 100
= 45(11/2) + 100
= 495/2 + 100
= 247.5 + 100
= 347.5 miles
Therefore, the Bensons will be approximately 347.5 miles from their home after 5 1/2 hours of driving with their grandparents.