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rjkz [21]
3 years ago
15

Give an example of a real-world situation involving two unknown quantities. Then write an algebraic expression to represent the

situation.
Mathematics
2 answers:
Stels [109]3 years ago
7 0

Answer:

t=\frac{15}{s} represents the situation described below.

Step-by-step explanation:

A real-world situation could be

<em>Mary is runs everyday, she runs 15 kilometers per day, if she move at a constant speed, what would be the ratio that represents the time she needs everyday to make 15 kilometers.</em>

<em />

In this example, we have three quantities, distance traveled, speed and time. But, we already now the distance traveled, and we don't know the speed and time Mary uses to make 15 kilometer. We also know that the movement is constant, so it's defined by

s=\frac{d}{t}

Where s is speed, d is distance and t is time. So, if d=15, the ratio that represents time would be

s=\frac{d}{t}\\ t=\frac{d}{s}\\ t=\frac{15}{s}

Therefore, the algebraic expression that represents the hypothetical situation is

t=\frac{15}{s}

Where t is time and s is speed.

RUDIKE [14]3 years ago
3 0
A real world expression would be Toby had makes 3 dollars per hour he wants to buy a ps4 for 40 dollars. he already has 10 dollars. how many hours does he have to work to afford his ps4. 3x+10=40
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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many da
Vsevolod [243]

9514 1404 393

Answer:

  4 days

Step-by-step explanation:

The total charges can be modeled by ...

  c = 75d + 75 . . . . . . charges for d days

Filling in the given charge, we find ...

  375 = 75d +75

  300 = 75d . . . . . . . subtract 75

  4 = d . . . . . . . . . . divide by 75

Chris rented the car for 4 days.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Harlamova29_29 [7]
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3 years ago
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