The 4 functions are:




Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:

for large values of x
In this problem, we can see that the only quadratic function is

, while all the others are linear functions, so the function that grows faster for large values of x is
The absolute value of a number is the distance from point to the origin. Since Paula is located at a position of −12 feet relative to the ground, then the distance from point -12 on the number line to the origin is 12 (distance cannot be negative).
Thus, |-12|=12 and Paula is at a distance of 12 feet.
Answer: correct choice is C
Answer:
Y intercept: y=2x+4
And x intercept: x=1/2y-2
Step-by-step explanation:
Answer:
Tyler is correct. The temperature dropped at a rate of about 4° per hour between 4 and 6, while the temperature dropped at about 2.25° per hour between 6 and 10.
Edit: Explanation
The question is asking about which window of time had a <em>faster</em> decline in temperature, not a larger total change in temperature.
In a 2 hour timeframe, the temperature dropped 8°. (4-6 PM)
In a separate 4 hour timeframe, the temperature dropped 9°. (6-10 PM)
To find which window had a faster change in temp, I took the total temperature drop for each timeframe, then divided it by the number of hours each drop took.
8° / 2 = 4° per hour for 4-6 PM
9° / 4 = 2.25° per hour from 6-10 PM
Since the speed at which the temperature dropped per hour was greater from 4-6 PM than 6-10 PM, Tyler was correct.