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saw5 [17]
2 years ago
13

Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player

gets $500 in virtual money for each race won. What function represents the amount of virtual money a player has in terms of the number of races won?
The independent quantity is the , and the dependent quantity is the _________ and the dependent quantity is the _________ The function representing the situation is _________
Mathematics
2 answers:
Sholpan [36]2 years ago
3 0
Independent quantity (x) is number of races won
dependent quantity f(x)...or y is total virtual money
the function is : f(x) = 500x + 5000 or y = 500x + 5000
bogdanovich [222]2 years ago
3 0

Answer:

The game gives each player an initial amount of $5,000 in virtual money. After that, a player gets $500 in virtual money for each race won. This $5000 is fixed.

Let the races won be x

So, the function that represents the amount of virtual money a player has in terms of the number of races won becomes :

f(x)=500x+5000

The independent quantity (x) is : the number of races won

And the dependent quantity f(x) or y is : the total virtual money earned

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Answer:

15 pots

Step-by-step explanation:

If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.

Hope this is what you wanted.

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2 years ago
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1 year ago
A stone is dropped into a barrel of water and sinks to the bottom. The ball is completely covered by water. By how much does the
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Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

V_s=\frac{4}{3} \pi r^3

The radius is half the diameter. The diameter of the sphere is 10, thus:

r = d/2 = 10/2 = 5

5^3 = 5*5*5 = 25*5 = 125

V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125

The volume of a cylinder, which will be the shape of the increase in water, is the following:

V_c=\pi r^2 h

We know the radius r, as we know the diameter.

r=d/2=40/2=20

V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

V_s = V_c

\frac{4}{3} * 125 * \pi = 400 * h * \pi

We can get rid of pi by dividing both sides by pi:

\frac{4}{3} * 125 = 400 * h

And now divide both sides by 400:

\frac{4}{3} * \frac{125}{400}= h

Just reversing it and putting h to the left:

h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}

I see that I can divide both the numerator and the denominator by 4:

h =\frac{125}{3 * 100}= \frac{125}{300}

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

\frac{5}{12} ≈ 0.416666667 ≈ 0.42

7 0
1 year ago
A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative
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2 years ago
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Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the t
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Answer:   The drive was 24.32% full when the transfer began.

 

Step-by-step explanation:

Given: The rate of transferring file = 4.44 megabytes per second.

After 32 seconds, the amount of data on the drive = 384 megabytes  

The amount of transferred data = 32\times4.4=140.8 megabytes  

Therefore, the amount of data in the drive at the beginning is given by :-

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The drive had a maximum capacity of 1000 megabytes.

\frac{243.2}{1000}\times100=24.32\%

Hence, the drive was 24.32% full when the transfer began.

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