Given the function g(x) = x2 + 5x + 1, determine the average rate of change of the function over the interval -5 < x < 4.

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

x-150=475   x=625

step-by-step explanation:

if the bike after the sale ($150) is $475 then just simply add 150 to 475.

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !