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.

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Answer:

-7 is the slope.

It intercept Y at 224.

It is proportional.

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.