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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

You might be interested in
An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach
Alik [6]

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

     1st      2nd      3rd     4th      5th         6th     week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

3 0
1 year ago
There are S steps from the pedestal to the head of the Statue of Liberty.The number of steps in the Washington Monument is 27 le
ozzi

w=Washington monument  steps

w= 27-6s  so the expression is w= 6s-27

The one with the variable always goes first.

---------------------------------

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

4 0
1 year ago
Judy’s measured potassium level varies according to the Normal distribution with μ = 3.8 and σ = 0.2 mmol/l. Let us consider wha
Basile [38]

Answer:

The blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L is 3.64.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means of size n can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 3.8, \sigma = 0.2, n = 4, s = \frac{0.2}{\sqrt{4}} = 0.1

What is the blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L?

This is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.645 = \frac{X - 3.8}{0.1}

X - 3.8 = -1.645*0.1

X = 3.64

The blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L is 3.64.

8 0
1 year ago
Read 2 more answers
Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
Softa [21]

you didn't give the options but  constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

the constant of proportionality is k, so k=2

y= kx becomes y=2x

so y = 2x should be the answer

5 0
2 years ago
Read 2 more answers
If q is inversely proportional to r squared and q=30 when r=3, find r when q=1.2
beks73 [17]

Answer:

r = 3

Step-by-step explanation:

q = k / r^{2}

k = qr^{2} = 1.2 x 3 x 3 = 10.8

q = 10.8/r^{2}

1.2 = 10.8/r^{2}

r = \sqrt{10.8 /1.2} = 3

4 0
1 year ago
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