Find the average rate of change from x = 10 to x = 17 for the function f(x) = 0.01(2)^x and select the correct answer below.

a) 10.24
b) 185.78
c) 1300.48
d) 1310.72

For x = 10, f(x) = f(10) = 0.01(2)^10 = 10.24

For x = 17, f(x) = f(17) = 0.01(2)^17 = 1310.72

Now using formula for the calculation of average rate of change of f(x).

(f(b) – f(a)) / b – a = (f(17) – f(10)) / 17 – 10 = (1310.72 -10.24) / 7 = 185.78

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?