1. the function rule c=10n+26 relates the number of people n who attend a small concert to cost in dollars of c of the concert. Make a table of the imput/output pairs to show the cost if 27,39, and 43 people attend.
2. explain how to write a function rule from the table below. then write a function rule.
x|2|4|6|
--------
y|1|0|-1|
3. a prototype rocket burns 159 gallons of liquin hydrogen fuel each second during a reqular launch. Make a table that showes how many gallons of fuel burned after 2,3,5, and 10 seconds
plz help me in stuck this is hard for me
#1 just plug in various values for n.
#2 note that as x increases by 2, y decreases by 1. So, you'd expect something like
y = -1/2 x
But, -1/2 * 2 = -1, and y = 1, so adjust the rule to be
y = -1/2 x + 2
#3 just multiply 159 by the number of seconds.
IM STILL CONFUSED ABOUT THE SECOND ONE
1. To find the cost of the concert for a given number of people, you can substitute the values of 'n' into the function rule c = 10n + 26. Let's create a table to show the cost if 27, 39, and 43 people attend.
- For n = 27, plug in n into the function: c = 10(27) + 26 = 270 + 26 = 296. So the cost for 27 people is $296.
- For n = 39, plug in n into the function: c = 10(39) + 26 = 390 + 26 = 416. So the cost for 39 people is $416.
- For n = 43, plug in n into the function: c = 10(43) + 26 = 430 + 26 = 456. So the cost for 43 people is $456.
Here is the table:
Number of People (n) | Cost of Concert (c)
-------------------------------------
27 | $296
39 | $416
43 | $456
2. To write a function rule from the given table, we need to see how the input (x) relates to the output (y). Looking at the table, we can see that the value of y decreases by 1 each time the value of x increases by 2. Therefore, the function rule can be written as y = -x/2 + 1.
3. To create a table showing how many gallons of fuel are burned after a certain number of seconds, we can use the given information that the prototype rocket burns 159 gallons of liquid hydrogen fuel each second.
- After 2 seconds, the rocket will burn 159 x 2 = 318 gallons of fuel.
- After 3 seconds, the rocket will burn 159 x 3 = 477 gallons of fuel.
- After 5 seconds, the rocket will burn 159 x 5 = 795 gallons of fuel.
- After 10 seconds, the rocket will burn 159 x 10 = 1590 gallons of fuel.
Here is the table:
Seconds | Gallons of Fuel Burned
-------------------------------
2 | 318
3 | 477
5 | 795
10 | 1590
I hope this helps! Let me know if you have any further questions.