Answer:
120
Step-by-step explanation:
We are given that the function for the number of students enrolled in a new course is 
.
It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.
We know that the average rate of change is given by,
,
where f(x)-f(a) is the change in the function as the input value (x-a) changes.
Now, the number of students enrolled at 4 = f(4) = 
= 255 and the number of students enrolled at 2 = f(2) = 
= 15
So, the average increase 
= 
= 
= 120.
Hence, the average increase in the number of students enrolled is 120.
Answer:15 units
Step-by-step explanation:
Answer:
-0.02 gallons per mile
Step-by-step explanation:
You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.
Solution given:
y=70x+
Comparing above equation with y=mx+c
we get
m=70
So
<u>Slope</u><u>=</u><u>7</u><u>0</u>
Jackie wants to justify that f(x) = 2x - 6 is a linear function.
Lets assume some values for x and find out f(x)
We make a table with x values 1, 2, 3, 4 and find f(x)
To find f(x) we plug in x value in the given equation
x f(x)
1 2(1)-6 = -4
2 2(2)-6 = -2
3 2(3)-6 = 0
14 2(4)-6 =2
for f(x) we got -4, -2, 0 , 2
The value of f(x) is increasing by 2. There is a constant increase in f(x)
When there is a constant rate of increase then it is a linear function
constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.
