Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
The slope of the equation is 4
Answer: I’m not sure what compliment is but she would have to pick 7 to guarantee that she gets at least 1 blue lollipop
Step-by-step explanation:
There are 9 in total. 6 not blue. There are 3 blue. Assuming she gets terrible luck, she would have to take all of the non blue first which is 6. Then she would take another one to make sure she gets at least 1 blue lollipop
