Answer: 0 ≤ x ≤ 4.75
Step-by-step explanation: Domain is the range of possible x values that make sense in the equation. Since the x values are time, and there cannot be negative time, x must obviously be positive. And since y is height and height can't be negative, the domain of x ends at the x-intercept, the point at which y begins to become negative. So the domain of x is 0 is less than or equal to x which is less than or equal to about 4.75.
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
Answer:
0.9101523758 ≈ 1 year
Step-by-step explanation:
The population of a small town is 40,740.
Its population falls by 8% per year.
Given: Compound interest Amount (A) = P( 1 + 
14,550 = 40,740(1 + 
14,550 = (40,740 - 3259.2
14,550 = (37,480.8
t * log 37,480.8 = log 14,550
t = 
= 0.9101523758 ≈ 1 year
So
x=earned
x>200
they paid their parrents 28 for supplies (this assumes that they paied 28 altogether and not 28 each)
so subtract 28 from pay
new pay=y
y>200-28
y>172
divided it among themselves (3)
172/3=57 and 1/3=57.33
they each earned more that $57.33
