Ariel wants to write 8 entries for her blog. after 2 hours, she has 5 entries left. after 4 hours, she has 2 entries left. which graph represents ariel's remaining entries?

graph of line going through (0, 0) with a slope of 1.5

graph of line going through (0, 2) with a slope of 2

graph of line going through (0, 8) with a slope of 1.5

graph of line going through (0, 3) with a slope of 3

Graph of line going through (0, 8) with a slope of 1.5  represents Ariel's remaining entries

Step-by-step explanation:

Ariel wants to write 8 entries for her blog.

After 2 hours, she has 5 entries left.

After 4 hours, she has 2 entries left.

So, now using two point slope form:

---1

where

So , substituting the given points we get the equation that represents the given situation .

Now,

Thus the slope of the given situation is 1.5

Now at x = 0

So, at 0 hour 8 entries left .

So, graph of line going through (0, 8) with a slope of 1.5  represents Ariel's remaining entries

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)