<span>The answer would be: an = 10( one half )n − 1; average rate of change is </span><span>negative fifteen halves.
</span><span>This question is about exponent function/series. You are given 3 points from the function, point A (1,10), point B( 2, 5) and point C(4,1.25).
If you insert point A to the function, </span><span>an = 10( one half )^n − 1 </span>will give a result of 10 for n=1.
For n=0, the result would be:
an = 10( one half )^n − 1
an= 10(1/2)^0-1
an= 10(1/2)^-1= 10* 2= 20
Then the average rate of change from n=0 to n=2 would be:
Rate of change= (y2-y1)/ (x2-x1)
Rate of change= (5-20)/ (2-0)= -15/2= <span>negative fifteen halves</span>
~ : to represent sign of proportionality
y ~ 1/x
y = k/x
x=20, y=4
4 = k/20
k = (20×4) = 80
y = 80/x
x=35, y = 80/35 = 2.29
The proportional constant k = 80
The function is: y = k/x
The new value of y is: 2.29
Hope it helped!
Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
