7.RP.A.2 Tutor Intake -- Recognizing and Representing Proportional Relationships

A table has one row: when $x = 4$, $y = 12$. A student computes
$y/x = 3$ and concludes the relationship is proportional with
constant of proportionality $k = 3$. What is missing from this
conclusion?

A streaming service charges $8 per month plus $2 per movie
rented. Is the relationship between number of movies rented and
total monthly cost proportional?

On the graph of a proportional relationship between gallons of
paint purchased and total cost, what does the point $(0, 0)$
represent, and why must it be on the graph?

A baker uses 3 cups of flour for every 2 cups of sugar, and this
ratio holds throughout the recipe. What is the constant of
proportionality $k$ (sugar per cup of flour)? Write your answer
as a fraction.

A car travels at a constant speed. The table below shows time
(hours) and distance (miles):

What is the constant of proportionality $k$ (miles per hour)?

A factory's constant of proportionality between hours worked $h$
and widgets produced $w$ is $k = 150$. Which equation correctly
represents this relationship?

A recipe calls for 1.5 teaspoons of vanilla per batch of
cookies. Let $v$ = teaspoons of vanilla and $b$ = number of
batches. Complete the equation: $v =$   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   $\times b$