S: Complete the vocabulary chart by filling in the missing information. Word or phrase
Definition
Picture or Example
Ratio

4 to 3, or 43
Equivalent Ratios
Equivalent ratios are ratios that have different numbers but represent the same relationship. They can be found by multiplying or dividing both terms of a given ratio by the same nonzero number.

Rate

250 miles5 hours 36 eggs3 cartons
Unit rate
A unit rate compares x units of quantity to 1 unit of another quantity

Unit price

$ 0.45 per apple
Proportion

1 3 = 6

46.2+112.3

step-by-step explanation:

40 x 50 = 2000

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

      2

  2 is to go somewhat to the top right of a because it is squared    

v= a h/3