Lucy pays $224 dollars in advance on her account at the health club. each time she visits the club, $7 is deducted from the account. find the slope, y-intercept, equation and why it’s proportional or not.

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

If she visits second time, then the account will have .

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

; 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.