Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:
for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
The formula of a slope:
We have the points A(-6, 6) and B(12, 3). Substitute:
Therefore we have 
.
Put the coordinates of the point B to the equation:
<em>add 2 to both sides</em>
Answer:
this is what I would come up with because.
y=the number of people infected
x=the number of days that have passed
Answer:
p = -1
x=10
m < 7
Step-by-step explanation:
4(3p + 6 ) = 12
Distribute the 4
12p +24 = 12
Subtract 24 from each side
12p+24-24 = 12-24
12p = -12
Divide by 12
12p/12 = -12/12
p = -1
-5(x -4) = -30
Distribute the -5
-5x+20 = -30
Subtract 20 from each side
-5x+20-20 = -30-20
-5x=-50
Divide by -5
-5x/-5 = -50/-5
x=10
-3m + 15 > -6
Subtract 15 from each side
-3m + 15-15 > -6-15
-3m >-21
Divide by -3 remember to flip the inequality
-3m/-3 < -21/-3
m < 7
