It has 97 amounts.
43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60
61,62,63,64,65,66,67,68,69,70 71,72,73,74,75,76,77,78,79,80
81,82,83,84,85,86,87,88,89,90
91,92,93,94,95,96,97,98,99,100
101,102,103,104,105,106,107,108,109,110
111,112,113,114,115,116,117,118,119,120
121,122,123,124,125,126,127,128,129,
130
131,132,133,134,135,136,137,138,139
Numbers between 42-140
Answer:
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
- Hence, function 1 has a greater rate of change
The initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
- Hence, function 2 has a greater initial value.
Step-by-step explanation:
Function 1)
Determining rate of change for function 1:
x 1 2 3 4
y 5 8 11 14
Finding the rate of change or slope using the formula
Rate of change = m = [y₂-y₁] / [x₂-x₁]
Taking any two points, let say (1, 5) and (2, 8)
Rate of change = m = [8-5] / [2-1]
= 3/1
= 3
Therefor, the rate of change of function 1 = m = 3
using point-slope form to determine the function equation
y-y₁ = m (x-x₁)
where m is the rate of change or slope
substititng m = 3 and the point (1, 5)
y - 5 = 3(x - 1)
y - 5 = 3x-3
y = 3x-3+5
y = 3x + 2
Thus, equation of function 1 will be:
y = 3x + 2
Determining Initial Value for Function 1:
substituting x = 0 in the equation to determine the initial value
y = 3(0)+2
y = 0+2
y = 2
Therefore, the initial Value of function 1 will be: y = 2
Function 2)
Determining the rate of change for function 2:
Given the function 2

comparing with the slope-intercept form of a linear function
y = mx+b where m is the rate of change
so the rate of change of function 2 = m = 5/3
Determining Initial Value for Function 2:
substituting x = 0 in the equation to determine the initial value




Therefore, the initial Value of function 2 will be: y = 3
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
- Hence, function 1 has a greater rate of change
The initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
- Hence, function 2 has a greater initial value.
X = -2 would not be a function because if you graph it, it is a vertical line.
Y = 2 is a function because when graphed, it is shown as a horizontal line and passes the vertical line test.