This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
the rule of function is just an equation to go from one ordered pair to another, when finding the equations I look at the ordered pairs involving 1 first because there are usually obvious possibilities for those
Help for #17 A. a variable is the thing that can change. Ex. not 4/3 B. Think about it this way: is the amount of water a glass gan hold caused by it's size, or is the size caused by the amount of water it can hold?
Im really confused on #19. I looked in the back of the book, but I don't understand how to find the relationship. They only give you the length of the tube so how are you supposed to find the volume?
This was a tough hw assignment folks, if you're struggling a bit, take heart, we'll discuss this in class tomorrow,
For #13 & 15, think about what we learned in class the other day.
There are two ways to see that the relationship of the ordered pairs is nonlinear. The time-consuming, yet more obvious, way is to graph the ordered pairs in the coordinate plane. The other way is to see that as the independent variable changes by 1 (or a fixed amount), the change in the dependent variable is not same.
Once we determine that a relationship is nonlinear, we have noticed that an exponent is involved. So, based on that can you find a rule, knowing that an exponent might help you find it?
For #17, good answer from anonymous above. We'll discuss it in class. We need to start using the word function more in class.
If you are traveling 50mph, the distance, d, you travel is a function of the time, t, spent traveling. So time, t, is the independent variable and distance, d, is the dependent variable.
If the average customer spends $5 on lunch at the cafe, the revenue, r, earned by the cafe is a function of the number of customers, n, that come for lunch. So the number of customers, n, is the independent variable and revenue, r, is the dependent variable.
If a problem is stated that the volume, v, of a sphere is a function of the radius, r, then the radius is the independent variable and volume is the dependent variable. The volume of the sphere is a function of the length of the radius.
How would you write a rule of function for #13 & #15?
ReplyDeleteWould the dependent variables for #17 be V, 4/3, and ^3?
ReplyDeletethe rule of function is just an equation to go from one ordered pair to another, when finding the equations I look at the ordered pairs involving 1 first because there are usually obvious possibilities for those
ReplyDeleteHelp for #17
ReplyDeleteA. a variable is the thing that can change. Ex. not 4/3
B. Think about it this way: is the amount of water a glass gan hold caused by it's size, or is the size caused by the amount of water it can hold?
Im really confused on #19. I looked in the back of the book, but I don't understand how to find the relationship. They only give you the length of the tube so how are you supposed to find the volume?
ReplyDeleteIm really confused about #19
ReplyDeleteI need help with #19 too!
ReplyDeleteThis was a tough hw assignment folks, if you're struggling a bit, take heart, we'll discuss this in class tomorrow,
ReplyDeleteFor #13 & 15, think about what we learned in class the other day.
There are two ways to see that the relationship of the ordered pairs is nonlinear. The time-consuming, yet more obvious, way is to graph the ordered pairs in the coordinate plane. The other way is to see that as the independent variable changes by 1 (or a fixed amount), the change in the dependent variable is not same.
Once we determine that a relationship is nonlinear, we have noticed that an exponent is involved. So, based on that can you find a rule, knowing that an exponent might help you find it?
For #17, good answer from anonymous above. We'll discuss it in class. We need to start using the word function more in class.
ReplyDeleteIf you are traveling 50mph, the distance, d, you travel is a function of the time, t, spent traveling. So time, t, is the independent variable and distance, d, is the dependent variable.
If the average customer spends $5 on lunch at the cafe, the revenue, r, earned by the cafe is a function of the number of customers, n, that come for lunch. So the number of customers, n, is the independent variable and revenue, r, is the dependent variable.
If a problem is stated that the volume, v, of a sphere is a function of the radius, r, then the radius is the independent variable and volume is the dependent variable. The volume of the sphere is a function of the length of the radius.
For #19, that was a deceptively hard AND easy problem at the same time. Don't worry about it, we'll go over it in class tomorrow.
ReplyDeleteHere's a hint... if the volume of the tube was 9 cubic feet, how many bags would you need to fill it?
14 WHOLE bags?
ReplyDeleteOk thanks, but how would you WRITE/express a function?
ReplyDeleteWe'll go over it in class... GET SOME SLEEP! If #19 is your only problem, you're in great shape!
ReplyDelete