Answer:
Step-by-step explanation:
1). From the graph attached,
Price of one ticket last year = $1.5
From the table attached,
Price of one ticket this year = $2
Therefore, price of one ticket this year is higher than the last year.
This year ticket is expensive.
2). From the graph attached,
Price of 4 tickets last year = $6
3). Since, price of one ticket this year = $2
Therefore, price of 10 tickets = $2 × 10 = $20
Answer:
Equation of tangent:

At point (1,0):
y = 2.713
Step-by-step explanation:
The equation of tangent line to the function can be calculated by taking the first derivative.
We have,
![y = xe^{x}-e^{x}\\\frac{dy}{dx}=\frac{d}{dx}[ xe^{x} ]-\frac{d}{dx} [e^{x}]\\](https://tex.z-dn.net/?f=y%20%3D%20xe%5E%7Bx%7D-e%5E%7Bx%7D%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5B%20xe%5E%7Bx%7D%20%5D-%5Cfrac%7Bd%7D%7Bdx%7D%20%5Be%5E%7Bx%7D%5D%5C%5C)
Applying Product Rule:
d/dx [u.v] = (d/dx u) . (v) + (u) . (d/dx v)
Therefore,

The above equation is the equation of tangent line.
The point given is (1,0):
So,

Answer:
1.37
Step-by-step explanation:
First, we want to isolate the variable x. Do this by dividing both sides by 9:


Now, square root both sides:

x = 
Finally, we can use a calculator to finish off the problem:
x =
≈ 1.37
Hope this helps!
First calculate the total distance covered each day:
distance per day = 89 miles * 8 = 712 miles / day
Then calculate for the whole month (28 days):
distance = 712 miles / day * 28 days = 19,936 miles
<span>Since the actual distance is lesser than the budget, hence
it is reasonable.</span>