Question

2 graph the line below?
$y = -\frac{1}{3}x + 5$
3 in order to join a yoga studio there is a $100 annual fee and a $5 fee for each class you attend.
a. write an equation in slope - intercept form that models this situation.
b. if you attend 15 classes, how much would it cost you?

Explanation:

Step1: Define variables for cost model

Let $x$ = number of classes, $y$ = total cost. Slope-intercept form is $y=mx+b$, where $m$ is the per-class fee, $b$ is the fixed annual fee.

Step2: Write the cost equation

$m=5$, $b=100$, so $y=5x+100$.

Step3: Substitute $x=15$ into equation

$y=5(15)+100$

Step4: Calculate total cost

$y=75+100=175$

Step1: Identify y-intercept

The y-intercept $b=5$, so plot point $(0,5)$.

Step2: Use slope to find second point

Slope $m=-\frac{1}{3}$, so from $(0,5)$, move 3 right, 1 down to $(3,4)$.

Step3: Draw the line

Connect $(0,5)$ and $(3,4)$, extend the line across the grid.

Answer:

a. $y=5x+100$
b. $\$175$

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For the graphing problem (part [2]):