Question

graphs of proportional relationships ada math assessment 3 days remaining
tell whether ( x ) and ( y ) are proportional.
if yes, identify the constant of proportionality. then find the cost of 14 tickets. if not, leave the response boxes blank.
constant of proportionality:
cost of 14 tickets:

Explanation:

Step1: Check proportionality (ratio test)

Calculate $\frac{y}{x}$ for each point:
$\frac{26}{2}=13$, $\frac{65}{5}=13$, $\frac{117}{9}=13$

Step2: Confirm proportionality

All $\frac{y}{x}$ ratios are equal, and the line passes through $(0,0)$, so $x$ and $y$ are proportional.

Step3: Identify constant of proportionality

The constant $k$ is the equal ratio: $k=13$

Step4: Find cost of 14 tickets

Use $y=kx$, substitute $k=13, x=14$:
$y=13\times14=182$

Answer:

1. Yes, $x$ and $y$ are proportional.
2. constant of proportionality: $13$
3. cost of 14 tickets: $182$ dollars