Skills Practice Name
Date
1. Modeling Rates of Change
A. Write a linear equation I model each problem situation and use the equation to answer
the question
1. Autumn creates custom bracelets as a hobby and is planning to start selling them online for $10
per bracelet. Autumn has already sold 5 custom bracelets. Her bracelets are so popular that she
expects to sell every bracelet that she makes. Write an equation for the amount of money Autumn
makes. If Autumn makes an additional 24 bracelets, how much money will she make?
2. Antonio works at the circus making balloon animals, charging $3 for a balloon animal. Before he

grab rope, tie a loop-de-loop, put it around ur neck, now jump while its tied to a high place. now your shoes are cool.

step-by-step explanation:

1. minimum

2. 6400

3. eight

hope this !

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

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: