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
2 answers:
Answer:
Given scenario is :
The game gives each player an initial amount of $5,000 in virtual money, means this is the total money. This $5000 is fixed.
Afterwards, a player gets $500 in virtual money for each race won.
Now we have to tell the following:
The independent quantity (x) is : the number of races won
And the dependent quantity f(x) or y is : the total virtual money
Also we need to tell the function that represents the amount of virtual money a player has in terms of the number of races won is. So, the function becomes:
or
where x is the number of races won.
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We are given these three people age below:
- Jim's age
- Carla's age
- Tomy's age
We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
- Jim's age = x
Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
- Carla's age = x+5
Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
- Tomy's age = 6+(x+5)
The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
Combine like terms and solve for x.
Then we substitute the value of x in ages to find these three people ages.
- Jim's age = x = 5
- Carla's age = x+5 = 5+5 = 10
- Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.
Answer
- Jim's age = 5
- Carla's age = 10
- Tomy's age = 16
The general slope-intercept form equation is:
In this case, m=-2 and with the point (4, 10) we can find the value of b:
We found that b = 18, so: