Loading...

Lesson 4: Describe Proportional Relationships: Constant of Proportionality — Practice Questions

  1. 1. Which pair of equations both state that the variable $R$ is proportional to the variable $h$?

    • A. $R = kh$ and $h = kR$
    • B. $\frac{R}{h} = k$ and $R = kh$
    • C. $Rh = k$ and $R = \frac{k}{h}$
    • D. $R-h=k$ and $R = h+k$
  2. 2. The following pairs of values $(h, k)$ are recorded: $(3, 9), (6, 18), (8, 24), (12, 36)$. Are the variables $h$ and $k$ proportional? If so, identify the equation relating them.

    • A. Proportional, $k = 3h$
    • B. Proportional, $h = 3k$
    • C. Not proportional
    • D. Proportional, $k = h + 6$
  3. 3. Property tax is proportional to property value at a rate of 2.5%. How much tax will Gareth pay on his cabin, which is valued at 50,000 dollars? Gareth will pay ___ dollars in tax.

  4. 4. Does the equation $S = \frac{13m}{7}$ describe a proportional relationship between $S$ and $m$?

    • A. Yes
    • B. No
  5. 5. Complete the statement: $T$ is proportional to $w$ if their ___ is constant.

  6. 6. The following pairs of values $(B, d)$ are recorded: $(3, 0.6), (4, 0.8), (6, 1.2), (9, 1.8)$. Are the variables $B$ and $d$ proportional? If so, identify the equation relating them.

    • A. Proportional, $d = 0.2B$
    • B. Proportional, $B = 0.2d$
    • C. Not proportional
    • D. Proportional, $d = B - 2.4$
  7. 7. The following pairs of values $(Y, V)$ are recorded: $(2, 4), (3, 9), (5, 25), (8, 64)$. Are the variables $Y$ and $V$ proportional?

    • A. Proportional, $V = 2Y$
    • B. Proportional, $V = Y^2$
    • C. Not proportional
    • D. Proportional, $V = Y + 2$
  8. 8. The following pairs of values $(H, t)$ are recorded: $(2, 0.5), (4, 0.25), (5, 0.2), (10, 0.1)$. Are the variables $H$ and $t$ proportional?

    • A. Proportional, $t = 0.25H$
    • B. Proportional, $Ht = 1$
    • C. Not proportional
    • D. Proportional, $H = 4t$
  9. 9. The following pairs of values $(C, R)$ are recorded: $(1, 15), (3, 35), (6, 65), (12, 125)$. Are the variables $C$ and $R$ proportional?

    • A. Proportional, $R = 15C$
    • B. Proportional, $C = 15R$
    • C. Not proportional
    • D. Proportional, $R = C + 14$
  10. 10. Trish’s real-estate commission is proportional to the sale amount. She earned a 3200 dollars commission on an 80,000 dollars sale. Which equation relates her commission, $C$, to her sales, $S$?

    • A. $C = 0.04S$
    • B. $C = 25S$
    • C. $C = S - 76800$
    • D. $C = S/0.04$