Answer:
t(g)= -4g + 20
Step-by-step explanation:
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays
Solution
Let
g=No. of games James plays
t= No. of tokens James has.
Find the slope using
y=mx + b
Where,
m = Slope of line,
b = y-intercept.
Before James started playing the games, he has a total of 20 tokens.
That is, when g=0, t=20
After James played the games 3 times, he has 8 tokens left
That is, when g=3, t=8
(x,y)
(0,20) (3,8)
m=y2-y1 / x2-x1
=(8-20) / (3-0)
= -12 / 3
m= -4
Slope of the line, m= -4
y=mx + b
No. of tokens left depend on No. of games James plays
t is a function of g.
t(g)
t(g)= -4g + 20
Answer:
x - 5 = 3x + 1
-6 = 2x
x = -3
Step-by-step explanation:
Answer:
No savings
Step-by-step explanation:
Let the interest rate be same for all the loans and consider it to be R.
<u>First case</u>
Principal 1 = 2000
Time = 12 moths = 
= 1 year
Rate = R %
So, interest 1 = Principal * Time * Rate
= 2000 * 1 * R
= 2000R
Now,
Principal 2 = 1000
Time = 12 moths = = 1 year
Rate = R %
So, interest 2 = Principal * Time * Rate
= 1000 * 1 * R
= 1000R
Total interest to be paid = 2000R + 1000R
= 3000R
<u>Second case</u>
Principal = 3000
Time = 12 moths = = 1 year
Rate = R %
Interest = Principal * Time * Rate
= 3000 * 1 * R
= 3000R
We conclude that there would be no savings because the interest to be paid in both the cases are same.
Answer:
50 total penguins
Step-by-step explanation:
In the following example x = the total number of penguins.
Set it up as follows.
15 over x = 30 over 100
Cross multiply the numbers. (30 times x) and (15 times 100)
This results in 30x = 1500.
Divide both sides by 30 which results in x = 50.
This means that there is a total of 50 penguins.
In the following example x = the number of Emperor penguins.
If you would like to double check this, set up as follows.
x over 50 = 30 over 100
Cross multiply the numbers. (30 times 50) (100 times x)
This results in 100x = 1500.
Divide both sides by 100 which results in x =1 5.
This means that there are 15 Emperor penguins.
Answer and work down below. Let me know if you have any questions
