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
ehidna [41]
3 years ago
7

Rosita and Garth are saving up for a vacation, and begin with a certain amount saved each. If Rosita works 5 hours, she will hav

e $128. If she works 7 hours, she will have $164. If Garth works 3 hours, he will have $124. If he works 8 hours, he will have $194. They want to know when they will have saved the same amount of money and how much each will have saved.
Mathematics
1 answer:
noname [10]3 years ago
7 0
Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82

To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
4x = 44
x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
You might be interested in
A theorem is a statement that can be easily prove using a corollary
Reika [66]
False. Although, I'm not 100% sure.
7 0
3 years ago
Read 2 more answers
I also need work for understanding on these questions (I will mark as brainliest)
stich3 [128]

Answer:

<em>24000 and 1620 for the first and fifth </em>

Step-by-step explanation:

  • <em>24 x 25 x 40 = 24000</em>
  • <em>9 x 6 x 30 = 1620</em>

<em></em>

<em></em>

<em></em>

  • <em>I only know one and five </em>
  • <em>i couldn't figure out the others</em>
  • <em>Hope this helps</em>
  • <em>The other three i didn't learn yet</em>
  • <em>Brainliest</em>
  • <em>Ask questions if wrong</em>

7 0
3 years ago
What number is less than 337,676?
Sphinxa [80]
Not counting negative numbers there are 337,675 numbers less than 337,676
6 0
3 years ago
Please help me it’s due today at 4:20pm please help me please please help me
Sergio039 [100]

Answer:

x = 3, the error is that the -2x should be added.

Step-by-step explanation:

The -2x should be added to the left side.

3x - 7 = -2x + 8

3x + 2x = 8 + 7

5x = 15

x =3

Answer lest edited 3:11 PM Central, 11/24/2020

4 0
3 years ago
Read 2 more answers
Is 84 - 74 even or odd​
quester [9]

Answer:

even

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Lim (h-&gt;0) (sqrt(25+h)-5)/h.
    13·1 answer
  • If you get paid $15 and hour, how much would time and a half be?
    15·2 answers
  • Why is 4 the smallest composite number 
    5·1 answer
  • 5637 rounded to the nearest thousand is what
    7·2 answers
  • Which expression represents the area of the rectangle <br>(2x+7)(4x+5)?
    7·1 answer
  • Draw a square and shade about 1/8 of it. How did you decide how much to shade?
    14·3 answers
  • GEOMETRY
    10·1 answer
  • Need help finding x
    8·1 answer
  • Rewrite in radical form
    14·2 answers
  • B) Raj bought $3.63 worth of raisins.<br> What was the mass in grams? Give two<br> possible answers.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!