1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ella [17]
3 years ago
9

1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi

nishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.

B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.

C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?

D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.

Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

You might be interested in
PLEASE HELP ME EVERYONE HAS GOTTEN THIS WRONG ITS GONNA SUBMIT IN 15 MIN PLS HELP THANK YOU
LiRa [457]

Answer:

x=4.8

This here you use Pythagorean Theorem.

Step-by-step explanation:

a^2+b^2=c^2

The longest side is c. And the two legs are a and b.

So it'd be 11^2+x^2=12^2

121+x^2=144

Subtract 121 from both sides.

x^2=23

Then take the √ of x^2 and 23

So √x^2=√23

x=4.8

Hope this helps

5 0
3 years ago
The systems shown have the same solution set. <br> TRUE OR FALSE
tamaranim1 [39]
False, they have a different slope and y intercept
3 0
2 years ago
Read 2 more answers
Estimate the quotient 31.9 divided by 4
nevsk [136]
I hope this helps you



31,9÷4



319/40


7,975

3 0
3 years ago
Read 2 more answers
Prove that segment ST is parallel to segment RQ then x=12
RSB [31]

Answer:

x=12

Step-by-step explanation:

x=12

7 0
2 years ago
Pls help i will give brainliest
Ludmilka [50]

Answer:

so the answer would points on al ine you got to make sure you look at the 5

6 0
3 years ago
Other questions:
  • How to find x in a plane
    12·1 answer
  • Solve the equation g^2-12g=-36​
    14·2 answers
  • Theater tickets for children cost $5.adult tickets cost $3 more . If 2 adults and 2 children buy theater tickets, what is the to
    5·1 answer
  • Solve the equation in the interval from 7pi/2 to 13pi/2
    7·1 answer
  • 4- 4 x7+3= right the answer is -21, someone told me the answer is 10
    15·2 answers
  • What do the parallel lines shown on segment BD and segment DC represent? _____________________
    8·2 answers
  • Find the area of this polygon pls pls pls find it fast
    15·1 answer
  • 4 - ⅛w &lt; 16<br> can someone plz anwser and show work
    15·1 answer
  • Perry's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and
    14·2 answers
  • tell me you love me pls i need sum luv i spents alot of time doing this im doing another one but 100 pts
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!