Answer:
Step-by-step explanation:
X×X/2+3X+C
ANSWER
y = 100 + 0.25(160) - equation
y = 140 - if you needed the answer
39 students....39/4 = 9 remainder 3
39/5 = 7 remainder 4
ur answer is 39
A function

is periodic if there is some constant

such that

for all

in the domain of

. Then

is the "period" of

.
Example:
If

, then we have

, and so

is periodic with period

.
It gets a bit more complicated for a function like yours. We're looking for

such that

Expanding on the left, you have

and

It follows that the following must be satisfied:

The first two equations are satisfied whenever

, or more generally, when

and

(i.e. any multiple of 4).
The second two are satisfied whenever

, and more generally when

with

(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when

is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:


More generally, it can be shown that

is periodic with period

.
Remember, the slope formula is y2-y1 over x2-x1. To plug numbers into the formula, find two points. Then, you substitute the points into the formula.