A relationship is defined by the data pairs (1, 4), (2, 7), and (3, 10). Which statement best describes this relationship?

It is proportional because the ratio y/x is constant.

It is non-proportional because the ratio y/x is not constant.

It is proportional because y increases as x increases.

It is non-proportional because the numbers are all positive.

A movie streaming service charges a 5 dollars sign-up fee, plus 1 dollar per movie watched. Which statement is true about the relationship between total cost ($y$) and movies watched ($x$)?

The relationship is proportional because the cost per movie is constant.

The relationship is proportional because the sign-up fee is constant.

The relationship is non-proportional because of the 5 dollars sign-up fee.

The relationship is non-proportional because the cost changes with each movie.

Understand Proportional Relationships: Equivalent Ratios Practice — Grade 7 math

Lesson 3: Understand Proportional Relationships: Equivalent Ratios — Practice Questions

1. A relationship is defined by the data pairs (1, 4), (2, 7), and (3, 10). Which statement best describes this relationship?
- A. It is proportional because the ratio y/x is constant.
- B. It is non-proportional because the ratio y/x is not constant.
- C. It is proportional because y increases as x increases.
- D. It is non-proportional because the numbers are all positive.
2. A relationship between two quantities is given by the equation $y = x + 8$. For the point $(4, 12)$, the ratio $\frac{y}{x}$ is ___.
3. A movie streaming service charges a 5 dollars sign-up fee, plus 1 dollar per movie watched. Which statement is true about the relationship between total cost ($y$) and movies watched ($x$)?
- A. The relationship is proportional because the cost per movie is constant.
- B. The relationship is proportional because the sign-up fee is constant.
- C. The relationship is non-proportional because of the 5 dollars sign-up fee.
- D. The relationship is non-proportional because the cost changes with each movie.
4. Consider the non-proportional relationship $y = 2x + 3$. The ratio $\frac{y}{x}$ for the point where $x=3$ is ___, when written as a fraction.
5. Which of the following equations represents a non-proportional relationship?
- A. $y = 7x$
- B. $y = x - 2$
- C. $y = \frac{x}{3}$
- D. $y = 1.5x$
6. A recipe's ingredient amounts are proportional to the number of servings. If a recipe for 4 servings needs 6 cups of flour, how many cups are needed for 10 servings? ___ cups
7. The total distance $d$ a train travels in $t$ hours is given by $d = 85t$. What is the constant of proportionality in this relationship?
- A. $d$
- B. $t$
- C. $85$
- D. $\frac{1}{85}$
8. The cost of gasoline is proportional to the number of gallons purchased. If 8 gallons of gasoline cost 28 dollars, what is the unit rate in dollars per gallon? ___ dollars
9. A printer can print 40 pages in 5 minutes. If the number of pages is proportional to the time, how many pages can it print in 12 minutes? ___ pages
10. In a proportional relationship where $y=rx$, if the value of $x$ is doubled, what happens to the value of $y$?
- A. It is halved.
- B. It is doubled.
- C. It increases by 2.
- D. It does not change.