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
lubasha [3.4K]
3 years ago
5

PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Wri

te an equation in standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days.
PART B: Write the equation obtained in Part A using function notation.
PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0
<span>1) Name the variables

Number of days: x

rent: y

2) state the initial points

   x           y
days        $

  3           285

60           510


3) assume linear relation:

=> (y - yo) / (x - xo) = (y1 - yo) / (x1 - xo)

=> (y - 285) / (x - 3) = (510 - 285) / (60 - 3)

=> (y - 285) / (x - 3) = 225 / 57 = 75 / 19

=> 19 (y - 285) = 75 (x - 3)

=> 19y - 19*285 = 75x - 75*3

=> 19y - 75x = 5415 - 225

=> 19y  - 75x = 5190

=> standar form = -75x + 19y = 5190


PART B: Write the equation obtained in Part A using function notation.

-75x + 19y = 5190

=> 19y = 5190 + 75x

=> y = 5190/19 + (75/19)x

=> function notation = f(x) = (75/19)x + 5190 / 19

PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

1) Coordinate axes:

x: number of days

y: rent

2) draw the two given points: (3,285) and (60, 510)

3) draw the line that joins those points from the interception of the y-axis until some points further (60, 510).
</span>
You might be interested in
Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Sup
vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Given information-

The given expression in the problem is,

[(r)^{-7}]^5

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

(x^a)^b=x^{ab}

Using the power rule of the exponents given expression can be written as,

[(r)^{-7}]^6=(r)^{-7\times 6} &#10;

[(r)^{-7}]^6=(r)^{-42}

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}

Hence the expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Learn more about the power rule of exponents here;

brainly.com/question/819893

8 0
2 years ago
Read 2 more answers
What is the slope? ​
Luda [366]

Answer:

-3

Step-by-step explanation:

Find two easy to read points on the graph.

I see (0, 1) and (-1, 4).

slope = rise/run

Start at (0, 1). Go up 3 units. That is a rise of 3. Now go left 1 unit. That is a run of -1.

slope = rise/run = 3/(-1) = -3

6 0
3 years ago
Which expression is equivalent to 5(a+4)?
kondor19780726 [428]
----------------------------------------
Apply distributive property :
----------------------------------------
5(a + 4) = 5a + 20 (Answer D)
5 0
3 years ago
Read 2 more answers
If it takes 4 people 20<br>hours to decorate 200<br>biscuits, how long would<br>it take 5 people?​
DIA [1.3K]

it would take 5 people 16 hours do decorate 200 biscuits

7 0
3 years ago
Read 2 more answers
Introduction To Trigonometry<br><br>NO LINKS PLEASE <br> ​
Sonbull [250]

Answer:

sin(R)=6/sqrt(97)

Step-by-step explanation:

Sine is opposite/hypotenuse

If you want to know what the angle is, Angle R= about 37.5

Hope this helps

6 0
3 years ago
Other questions:
  • At t=0, a rock is dropped from rest from the top of a building 256 ft high. With what velocity will it strike the ground? What i
    15·1 answer
  • What is the smallest solution to this equation?​
    5·1 answer
  • -1 1/4 divided by 3/4
    8·2 answers
  • What formula should be used to find the circumference of a circle
    5·2 answers
  • 2(5x+4)=10x+6<br> Someone can help me?
    10·2 answers
  • Calculate the diameter of a circle if it's circumference is 25.1
    6·1 answer
  • A Bar of steel is 340 cm long Issa cuts two 55cm lengths of the bar He then cuts the rest into as many 40cm lengths as possible
    5·1 answer
  • What is the answer? I need help quick!
    9·2 answers
  • Rodrigo runs 17.5 miles every week. He runs the same distance each day. How far does rodrigo run each day?
    8·1 answer
  • Please help me answer 1-19 ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!