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Lyrx [107]
4 years ago
6

The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the deale

rship sold seven cars ( P 0 = 7 ). The second week the dealership sold twelve cars ( P 1 = 12 ).
Mathematics
1 answer:
marusya05 [52]4 years ago
5 0

The number of cars that sold on the third week is (P3=26)

The number of cars that sold on the first week is (P4=33)

<u>Step-by-step explanation:</u>

<u>Given:</u>

  • The number of cars that sold on the first week is (P0=7)
  • The number of cars that sold on the second week is (P0=12)

We have to find the number of cars being sold on the upcoming week

From the data given above, frame the equation

Pn = Pn −1+7   ( 12-5=7  it denotes the cars sold in the first and the second  week)

Pn=5+7n (cars in the first week and the cars sold in the second week into "n" n is used to find the cars sold in the upcoming weeks)

(If n=3)

Pn=5+7(3)

Pn=26

The number of cars that sold on the third week is (P3=26)

(If n=4)

Pn=5+7(4)

Pn=33

The number of cars that sold on the first week is (P4=33)

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Which situation is represented by the inequality? 7x + 50 &gt; 4x + 100 ) Molly has $50 and Mary has $100. Molly saves $4 per we
a_sh-v [17]

This question was not written properly

Complete Question

Which situation is represented by the inequality? 7x + 50 > 4x + 100

a) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly has more money than Mary?

b) Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more mon than mm Mary?

c) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly and Mary have the same amount of money?

d)Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly and Mary have the same amount of money?​

Answer:

b) Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more mon than mm Mary?

Step-by-step explanation:

In the above question, we are given an inequality equation

7x + 50 > 4x + 100

To find the best expression that represents this equation we would analyse the 4 options that we were given

a) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly has more money than Mary?

Let the number of weeks money is saved be represented by x

Hence,

Molly > Mary

4x + 50 > 7x + 100

Option a) is Incorrect

b) Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly has more money than Mary?

Let the number of weeks money is saved be represented by x

We are asked how long will it be before Molly has MORE MONEY THAN Mary , the inequality sign >

Hence,

Molly > Mary

7x + 50 > 4x + 100

This option matches the sceneraio in the question. It is correct

c) Molly has $50 and Mary has $100. Molly saves $4 per week and Mary saves $7 per week. How long will it be before Molly and Mary have the same amount of money?

Let the number of weeks money is saved be represented by x

We are told the same amount of money , the inequality sign =

Hence,

Molly = Mary

4x + 50 = 7x + 100

This option does not match the sceneraio in the question. It is Incorrect

d).Molly has $50 and Mary has $100. Molly saves $7 per week and Mary saves $4 per week. How long will it be before Molly and Mary have the same amount of money?​

Let the number of weeks money is saved be represented by x

We are told the same amount of money , the inequality sign =

Hence,

Molly = Mary

7x + 50 = 4x + 100

This option does not match the sceneraio in the question. It is Incorrect

Therefore, only Option b) match the sceneraio in the above y.

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