Answer:
Step-by-step explanation:
Lucy pays $224 initially, hence the initial amount of her account is $224.
$7 is deducted each time she visits the club.
Hence after visiting first time, the account will have [tex]$224 - $7 = $217[/tex]
If she visits second time, then the account will have [tex]$217 - $7 = $ 210[/tex].
That is with visiting each time, an amount of multiple of $7 is deducted from the account.
Hence, if we take Y as the amount in the account and X as the number of visiting s, then it can be represented as
[tex]Y = 224 - (7timesX)[/tex]; X is integers.
In the above equation, the term that is multiplied with X is -7, so -7 is the slope.
If X = 0, then Y = 224. It intercept Y at 224.
With X increasing, Y decreases, hence it is proportional.