Whats the answer ill give brainliest for best explained answer

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is choice C it's the only one that actually touches point (0, -7) and increases after that point.

Graph 1:

If we take a look at graph 1 we see that it does cross the y-axis at (0,-7), but sadly it doesn't increase.

Graph 2:

If we take a look at graph 2 we see that it does cross over y-axis but not at (0,-7). It also doesn't increase but that doesn't matter anymore.

Graph 3:

If we take a look at graph 3 we see that it crosses the y-axis at (0,-7) and it also increases. Although it decreases before it doesn't matter, it only has to increases after it hits (0,-7).

he earned 78.75 in interest.

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt