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
Let me know if you have any questions!
A. 2x+3×5=34
2x+15=34
2×9.5=19
2×9.5+15=34
x=9.5
Answer:
Recursive formula: 
Explicit formula: 
Step-by-step explanation:
Let n be the number of week,
be the number of albums Pam has on week n.
Every week she buys 3 new albums to keep her collection current, then

{The number of albums Pam has on week n is the number of albums Pam has previous week increased by 3}
This is a recursive formula.
Suppose initially Pam has 0 albums. Then the first week she has 3 albums, the third week - 6 albums and so on. Mathematically

The explicit formula is