An employee at an arcade determined he could use the equation y = 50 – 2x to predict the number of tokens a guest has, y, based on the number of minutes, x, the guest has been at the arcade. What is the meaning of the slope of the equation? A. Guests typically earn 2 tokens per minute.

B. Guests typically have 50 tokens left when they leave.

C. Guests typically use 2 tokens per minute.

D. Guests typically have 50 tokens when they first arrive

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

5 quiero

6 vamos

7 puedan

8 quiero

9pedemos

10 dorme

step-by-step explanation:

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two