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
Marina CMI [18]
3 years ago
14

Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27

5.
Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
<span>
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
</span>
The equation modeling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
</span><span>
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
</span>
But if you are writing the equation in standard form it would be <span>
</span><span>
50x - y = -25


Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
</span>
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.<span>
</span><span>
Writing the equation using the function notation would give us this
f(x) = 50x + 25


Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of </span>(2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
You might be interested in
NEED ANSWER ASAP pls
EleoNora [17]

Answer:

Let F = Fran's income

Let W = Winston's income

Combined income is 80000  ==>  F + W = 80000

One quarter of Winston's income is the same as one-sixth of Fran's income  ==>  

(1/4)*W = (1/6)*F

Multiply the 2nd equation by 12 to clear the fractions  

3*W = 2*F

Solve this equation for F

F = (3/2)*W

Substitute this value for F into the 1st equation

(3/2)*W + W = 80000

(5/2)*W = 80000

W = (2/5)*80000 = 32000

So F = 80000 - 32000 = 48000

So Winston earns 32000 and Fran earns 48000

Check:  One quarter of Winston's income is 32000/4 = 8000

           One sixth of Fran'e income is 48000/6 = 8000

Step-by-step explanation: Hope this helps

4 0
2 years ago
Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as th
IgorLugansk [536]

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681

7 0
3 years ago
A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. you have a cho
Zepler [3.9K]
5×10×3×6=50×18=900
900 combinations
3 0
3 years ago
a jewerly shop shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops, website, the rest were sold in
Hunter-Best [27]

Answer:

<h3>The workout ratio of the online sales to shop sales is 1:3.</h3>
7 0
2 years ago
What are the coordinates of the vertices of the figure A'B'C'after the following transformation. (x,y) ---&gt; ( y, -x)​
topjm [15]

9514 1404 393

Answer:

  • A'(4, 4)
  • B'(4, 2)
  • C'(1, 2)

Step-by-step explanation:

Using the transformation ...

  (x,y) ⇒ (y, -x) . . . . . . rotation 90° CW

we have ...

  A(-4, 4) ⇒ A'(4, 4)

  B(-2, 4) ⇒ B'(4, 2)

  C( -2, 1) ⇒ C'(1, 2)

5 0
2 years ago
Other questions:
  • Please help 1st grade homework
    11·2 answers
  • a catapult launches a boulder with an upward velocity of 122 feet per second the height of the boulder H in feet after T seconds
    12·2 answers
  • What is the value of the expression? 4 to the second power plus 3 to the 3rd power
    5·2 answers
  • What is 18= 1/3(3h-6)
    5·1 answer
  • Jacob and his 3 friends are sharing 9 cups of cherries.
    10·2 answers
  • I do not know how to solve this problem or know what to do with the exponents
    12·1 answer
  • Last year, Justin opened an investment account with $5400. At the end of the year, the amount in the account had increased by 6.
    8·1 answer
  • Suppose that a worker in Country A can make either 10 iPods or 5 tablets each year. Country A has 100 workers. Suppose a worker
    9·1 answer
  • Simplify: (5x2 - 3x - 4)(3x - 7) A. 15x3 - 44x2 + 9x - 28 B. 15x3 - 44x2 + 9x + 28 C. 15x3 + 26x2 - 33x - 28 D. 15x3 - 26x2 - 33
    9·1 answer
  • Help! I got 12 minutes to answer this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!