unit 6 lesson 9: linear functions sample work
its asking suppose you are constructing a lego technic land rover defender with a total of 2573 pieces. Every minute you had 5 pieces. So how would I write an equation in slope- intercept form to model the number of pieces placed in relation to time.

Answers

Answer 1

Answer:

Initially, you have 2573 pieces.

You use 5 pieces each minute.

Right when you start, you have 2573 pieces.

One minute after that, you have 2573 - 5 pieces.

Another minute after, you have 2573 - 2*5 pieces.

Another minute after, you have 2573 - 3*5 pieces.

And so on.

You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.

Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:

f(t) = 2573 - 5*t

That represents the number of pieces that you have after t minutes.


Related Questions

Angad,malachy and Jim share £30 in A ratio 1:3:1 how much does each person get

Answers

Answer:

Angad=6

Malachay=3×6=18

Jim=6

Step-by-step explanation:

Angad,malachy and Jim share =£30 ratio =1:3:1

Let the part of the Angad=X

=3x

=X

So X+3x+X=30

5x=30

X=30/5

X=6

So part of Angad=6

Malachay=3×6=18

Jim=6

Step-by-step explanation:

A:M:J

1:3:1

let total amt be 5x

5x = 30

x = 6

thus, A get 6dollars , M get 18 and J 6

Topic: ratio and proportions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Thomas and Sydney have a combined age of 57. Thomas is 13 years older than triple Sydney’s age. How old is Thomas? You must create a system of equations and use substitution to solve.

Answers

57-13=44. If Sydney is 11, then Thomas is 46. 11x3=33, and 33+13=46. To check our answer, we will add 46+11. 46+11=57.

Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third mile marker, she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?

Answers

Given:

Rita covered 1 mile in 15 minutes.

She covered 3 miles in 30 minutes.

To find:

The rate at which she is riding.

Solution:

Let y be the number of miles covered in x minutes.

Rita covered 1 mile in 15 minutes. So, the point is (15,1).

She covered 3 miles in 30 minutes. So, the point is (30,3).

Slope of the line:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-1}{30-15}[/tex]

[tex]m=\dfrac{2}{15}[/tex]

Therefore, she is riding [tex]\dfrac{2}{15}[/tex] miles per minute.

THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10

Answers

Answer:

x = 0.333...(repeating or .34 if u round)

Step-by-step explanation:

add 4x and 2x= 6x

20- 12 = 8

6x + 8 = 10

  -8      -8

6x = 2

6      6

             

x = 0.333...(repeating or .34 if u round)

What fraction is equivalent to 2 on this number line?

Answers

Answer:

2/1

Step-by-step explanation:

You can even check by doing 2 divided 1.

Hope this helps!!

2/1 I know there’s already an answer but


The scatterplot shows the average monthly outside temperature and the monthly electricity cost.
Based on the scatterplot, what is the best prediction for the electricity cost if the temperature for the month is 18°C?
A)
$250
B)
$350
$450
D)
$500

Answers

I would have to say C, just because it seems to line up the best.

Answer:

b is the awnser to your question

Step-by-step explanation:

Solve using fraction strips or common denominators:
1/2 + 3/10=

Answers

Answer:

4/5 (or 8/10)

Step-by-step explanation:

the least common denominator of 2 and 10 is 10, so you have to multiply the first fraction (1/2) by 5/5 so that the denominator of that fraction will become 10. Since 3/10 already has 10 as the denominator, you leave it. By adding 5/10 and 3/10 together you'll get 8/10.  

If the question asks to simplify your answer, divide the numerator and denominator of 8/10 to get 4/5

(lol sorry if this is too long, but have a nice day! :'D)

Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A.
1.21d
B.
0.79d
C.
d + 0.79d
D.
d + 0.21

Answers

Answer:

+0.21

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

Had This Question

Please anybody help

Answers

Answer:

-4 just kidding it is 3

Step-by-step explanation:

HELP DN#!#errfreeeeeeeeeeeeeeeeeew

Answers

Answer:

d

Step-by-step explanation:

Store A
Store B
What is the amount of sales tax charged on the
repaired computer at Store A?
Computer
Repair
$1,200
$1,350
Sales Tax
6%
7%
Gratuity
15%
15%
Shipping
Free
2% of total
price

Answers

Answer:

72

Step-by-step explanation:

A house costs $18,000, which is 9/10 the cost of a car. A motorcycle costs 1/5 the cost of the car, or 4/5 the cost of 100 cards. How much is the cost of 30 cards?
PLZ PLZ PLZ PLZ PLZ HELP!!!!!!!!!!!!!

Answers

$6750
The ratio of the cards is 4:5, or 18000:22500
22500/100 is 225
225 times 30 is 6750

help please :(((aaaa

Answers

Answer:

i think its b

Step-by-step explanation:

Answer:

it for sure the second one

Step-by-step explanation:

Three times the difference of a number and 5 is the same as twice the number, decreased by 3. Find the number

Answers

Answer:

x = 12

Step-by-step explanation:

3 (x-5) = 2x - 3

3x -15 = 2x - 3

x-15 = -3

x = 12

check:

21 = 21

The number as decribed (Three times the difference of a number and 5 is the same as twice the number, decreased by 3) in the question is; 12

According to the question;

Three times the difference of a number and 5 is the same as twice the number, decreased by 3.

The word problem can be written and solved as follows;

3(x - 5) = 2x -3

3x -15 = 2x -3

3x -2x = 15 -3

x = 12

Read more:

https://brainly.com/question/1640242

What term is defined by the formula?

Answers

The answer is b ...................................

What is 5,836,197 rounded to the nearest hundred

Answers

Answer:

Rounded to the nearest hungered is 5,836,200

-4 2/3 times (-1 1/2)
SHOW YOUR WORK TO GET BRAINLIEST~~~~!!~

Answers

Answer:

-4 2/3 times (-1 1/2)

Step-by-step explanation:

14.6 repeating

Which of the following is an irrational number?
A) √0.036
__
B) 7.25

C) √1

D) 10

Answers

10 is the answer to your question
The answer to this question is A

If f(x) = 3x + 2, then find the value of x such that f(x) = -4. A. -14 B. -10 C. -2 D. 14

Answers

Answer:

C.

Step-by-step explanation:

f(x) = 3x+2

f(x) = -4

-4 = 3x+2

-4-2 = 3x

-6 = 3x

-6/3 = x

-2 = x

x = -2

Please help! I’ll give brainleist!

Answers

x and y are equal to 36.8
X and Y are 100% equal to 36.8

Im in need for the answer to my question

Answers

Answer:

OK I'll go help

Step-by-step explanation:

Have a great day! :)


Use the diagram at the right to determine x and y. AB and CD are
straight lines.


Name a pair of vertical angles:



Find the measure of

Answers

Answer:

x=30

y=52

verticle angles: AOC and DOB

Step-by-step explanation:

Lucy owns a bakery. She has 2 cakes baked and can bake 4 cakes every
hour. Write an equation for the number of cakes baked, c, in h, hours. *


equation?

Answers

Answer:

c=4h+2

Step-by-step explanation:

you start of with 2 cakes and every hour you can bake 4

I needed to solve for X did I do it right?

Answers

Answer:

you have to distribute the 4 to both parts so it would be 4x-8=34

so then it would be 4x=42

X=10.5

Step-by-step explanation:

Answer:

Yes you are right x=9

Step-by-step explanation:

What’s 9x38328292672

Answers

Answer:

344954634048

Step-by-step explanation:

Theres something called a caculator

Answer:

344954634048

Step-by-step explanation:

can i get brainliest

"on a recent test, Ahmed knew many of the answers, but there were four"

Answers

Answer:

Thank you for sharing Ahmeds brilliance with us.

Step-by-step explanation:

Calculate the average speed of a boat that travels 600 meters in 40 seconds.

Answers

Answer:

15 meters in 1 second

Step-by-step explanation:

Divide 600 by 40 which is 15

so it travels 15 meters in 1 second

hope this helps!

Answer:15 meters per second

Step-by-step explanation:

600/40= 15

-1 + a = -6
solve for a

Answers

Answer:

-1+a=-6

move constant and change its sign

a=-6+1

add the number... then the Answer is :-

a=-5

I HOPE THIS HELPS

I will mark the brainiest! Please, and thanks! :)
(For the second one, just put it down on a piece of paper and upload a pic)

Answers

The best thing is to have a ruler with the appropriate units to construct these triangles;)

Graph the linear equation y= -2/3x+4

Answers

Use the desmos calculator it will really help for graphing things
Use the app demos you put it in and it shows you how it is graphed
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