Answer:
y = e^x + 4.
Step-by-step explanation:
It looks like y = e^x + 4.
Answer: 8 hours.
Step-by-step explanation:
We have the relation:
Time = distance/velocity
Distance = 50 miles
Velocity in horse = 9mph
Velocity walking = 3 1/2 mph = 3.5 mph
Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:
X + Y = 50 miles:
T/2 = X/9mph
T/2 = Y/3.5mph
Then we have:
X/9mph = Y/3.5mph
X = Y*(9/3.5)
And by the first relation:
X = 50 mi - Y
then we have:
50mi - Y = Y*(9/3.5)
50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57
Y = 50mi/3.57 = 14mi
Then we have:
T/2 = 14mi/3.5mph
T = 2*(14/3.5) hours = 8 hours
A.) <span>50 + 6.25x ≤ 100; x ≤ 8
There is a flat rate of $50 and 6.25 per child. This would be written as 50 + 6.25x . It has to be less than or equal to $100, since the directions state that you cannot pay more than $100.
Then you would solve the inequality.
Subtract 50 from both sides so the inequality looks like this:
6.25x </span>≤ 50
Then, divide 6.25 from 50. You should get x≤8.