Answer:
Function 1
Step-by-step explanation:
The rate of change is measured by the slope m
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x + 10 ← is in slope- intercept form
with slope m =
Calculate the slope of Function 2 using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 14.25) and (x₂, y₂ ) = (1, 15.75) ← 2 ordered pairs from the table
m = 
= 
= 0.75 = 
To compare the 2 fractions we require them to have a common denominator.
= 
and = 
>
Thus Function 1 has the greater rate of change
Answer:
Step-by-step explanation:
From the question, we can form an equation like: S = 7200 + 350X
where S is the salary and X is year.
1. His salary in the 9th year, means X=9, so we substitute 9 into the equation to find S = 7200 +350 (9) = 10350
2. The total he will have in the first 12years, we have:
Sum of first n terms of an <em><u>AP: S =(n/2)[2a + (n- 1)d]</u></em> where a is the value of the 1st term, here a is 7200 and d = 350 the common difference between terms
=> S = (12/2)[2*7200 + (12- 1)350] = 109500
Answer:
x = 30 degrees
Step-by-step explanation:
cos (x) = sqrt(3)/2
We need to take the inverse of each side
cos ^-1( cos x) = cos ^-1 (sqrt(3)/2)
x = cos ^-1 (sqrt(3)/2)
x = 30 degrees
