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
vodomira [7]
3 years ago
6

A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linea

r function that combines a one time membership fee with a per disc rental rate. The table shows the total cost, including membership fees, for a person who rents 1,2 and 5 discs in a month
Discs rented plan A B C D
1. $14. $12. $10. $12
2. $17. $16. $15. $21
5. $26. $28. $30. $48



Which plan has the smallest one-time membership fee?
Plan A
Plan B
Plan C
Plan D
Mathematics
2 answers:
Luba_88 [7]3 years ago
6 0
To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
where
m is the slope.
(x_{1},y_{1})  are the coordinates of the first point.
(x_{2},y_{2})  are the coordinates of the first point.
Point-slope formula: y-y_{1}=m(x-x_{1})

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{17-14}{2-1}
m=3
Now that we have the slope, we can use the point slope formula:
y-y_{1}=m(x-x_{1})
y-14=3(x-1)
y-14=3x-3
y=3x+11
Remember that in a linear equation of the form y=mx+b, m is the slope and b is the y-intercept. In our model the y-intercept is the membership fee.
Since b=11 in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{16-12}{2-1}
m=4
y-y_{1}=m(x-x_{1})
y-12=4(x-1)
y-12=4x-4
y=4x+8
Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{15-10}{2-1}
m=5
y-y_{1}=m(x-x_{1})
y-10=5(x-1)
y-10=5x-5
y=5x+5
Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{21-12}{2-1}
m=9
y-y_{1}=m(x-x_{1})
y-12=9(x-1)
y-12=9x-9
y=9x+3
Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is <span>Plan D.</span> 


frozen [14]3 years ago
5 0

Answer:

Your answer is Plan D

Step-by-step explanation:

HOPE IT HELPS

You might be interested in
Can i have help on this
ale4655 [162]

Answer:

21:24      24:64          

Step-by-step explanation:

Ur mouse is covering the number but yea

6 0
3 years ago
How tall is the kite
AveGali [126]
66in? I’m pretty sure
3 0
3 years ago
The average of students is 15 years if the age of a teacher is included their average becomes 18 years .what is the age of the t
xxTIMURxx [149]

Answer:

21; the age of the teacher

Step-by-step explanation:

15+x/2=18

Estimate - I estimated in the 20's because it only averaged up a little bit

Started with 23 and kept going until i got to my answer

21

15+21/2

36/2

18

Please mark brainliest :)

8 0
2 years ago
Read 2 more answers
-25 POINTS- Which of the following terms best describes the figure below?
Mashutka [201]
What figure you have not put up the figure

4 0
3 years ago
Read 2 more answers
Someone please help me
Inessa [10]
The answer to the question is B you do not have to sign if you use a pin
8 0
3 years ago
Other questions:
  • CORRECT ANSWER GETS BRAINLIEST A frequency table of grades has five classes​ (A, B,​ C, D,​ F) with frequencies of ​4,11 ​,15 ​,
    7·1 answer
  • Find sum or difference.<br><br>-1/2 + 1/3
    5·1 answer
  • The cost to rent a scooter in a busy metropolitan area is $25 plus $0.60 per mile. If Michael spent $43.20 to ride a scooter one
    12·1 answer
  • Determine 2 coterminal angles in radians for 7pi/2
    9·1 answer
  • Ur so worth it...ok now enough about u...help plz
    15·1 answer
  • Nick is studying the triangle sum theorem in his geometry class. The triangle sum theorem states that the sum the measures of th
    12·2 answers
  • Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 l
    10·1 answer
  • 4.89 is this a rational or a irrational<br>​
    8·1 answer
  • I will give brainliest
    14·1 answer
  • Which of the following is an example of a non-repeating, non-terminating decimal 
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!