cost for the concierge club. which conclusion is supported by the graph?\nthe concierge club costs $6 per…

Explanation:

Step1: Analyze the Concierge Club graph

The Concierge Club graph is a horizontal - line, which means it has a fixed cost regardless of the number of washes. The point $(6,30)$ on the graph is likely a reference point for comparison with the per - wash option. The fixed cost of the Concierge Club is $30$ (the $y$ - value when $x$ is non - zero), not $6$ per month, so the first option is incorrect.

Step2: Consider the cost for 3 washes

For 3 washes, assume the per - wash cost is linear. Let's find the per - wash cost. If we assume the per - wash line passes through the origin $(0,0)$ and another point. Since the Concierge Club cost is $30$ and for 6 washes (from the point $(6,30)$), if we consider the per - wash option, we need to check the cost for 3 washes. The per - wash cost is not given directly, but if we assume a linear relationship $y = mx$ for the per - wash option. For the Concierge Club, cost is $30$ for any number of washes. For 3 washes, if the per - wash cost is $m$, the cost for 3 washes is $3m$. If we assume the per - wash line passes through $(6,30)$ (a possible point), then $m = 5$ (since $y=mx$ and $30 = 6m$, so $m = 5$). The cost for 3 washes with per - wash is $3\times5=15$, which is less than $30$. So the Concierge Club is not a better deal for 3 washes, and the second option is incorrect.

Step3: Consider the cost for 8 washes

The cost for the Concierge Club is $30$ for any number of washes. For 8 washes with the per - wash option, if the per - wash rate $m = 5$ (from $30=6m$), the cost is $8\times5 = 40$. Since $30<40$, the Concierge Club is a better deal for 8 washes, so the third option is incorrect.

Step4: Calculate the per - wash rate

If the line for the per - wash option passes through the origin $(0,0)$ and the point $(6,30)$, using the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(6,30)$. Then $m=\frac{30 - 0}{6 - 0}=5$. So the pay - per - wash rate is $$5.00$ per wash.

Answer:

The pay - per - wash rate is $$5.00$ per wash.