Question

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.

Answer 1

y = 224 -
`7 * x`

Slope of equation = -7

y intercept = 224

The y value decreases as x increases and thus the equation is proportional.

Explanation:

The general equation of a straight line in slope-intercept form is

y = mx + c

Here m = slope of the line

c = intercept made by the line on the y axis.

Lucy has an initial amount of $224.

Each time she visits the club , $7 is deducted from her account.

So if she visits x number of times ,
`7 * x` will be deducted from her account .

If we represent the number of times Lucy visits the club by x and the money she has in her account after x visits by y ,we can write

y = 224 -
`7 * x`

Slope of equation = -7

y intercept = 224

The y value decreases as x increases and thus the equation is proportional.