1.   Determine if the rates are equivalent. Explain your reasoning.

18 hours in 6 days; 28 hours in 7 days
    A. The rates do not have the same unit rate, so they are equivalent. B. The rates do not have the same unit rate, so the number of hours is not proportional to the number of days.
    C. The rates have the same unit rate, so they are equivalent. D. The rates have the same unit rate, so they are not equivalent.
    Hint
  2.   Determine if the rates are equivalent. Explain your reasoning.

4 books for $32; 5 books for $40
    A. Since the rates do not have the same unit rate, they are equivalent. B. Since the rates have the same unit rate, they are equivalent.
    C. Since the rates do not have the same unit rate, they are not equivalent. D. Since the rates have the same unit rate, they are not equivalent.
    Hint
  3.   One store has a sale on video games for $36 where you can pick any 3 games. Another store is having a similar sale where you can buy any 5 games for $60. Are these rates equivalent? Explain your reasoning.
    A. Since the rates have the same unit rate, they are not equivalent. B. Since the rates do not have the same unit rate, they are equivalent.
    C. Since the rates do not have the same unit rate, they are not equivalent. D. Since the rates have the same unit rate, they are equivalent.
    Hint
  4.   Determine if the ratios are equivalent. Explain your reasoning.

6 winners out of 40 tickets; 12 winners out of 120 tickets
    A. The numerator and denominator are multiplied by the same number, so the ratios are not equivalent to the number of tickets. B. The numerator and denominator are multiplied by the same number, the ratios are equivalent to the number of tickets.
    C. The numerator and denominator are not multiplied by the same number, so the ratios are not equivalent to the number of tickets. D. The numerator and denominator are not multiplied by the same number, the ratios are equivalent to the number of tickets.
    Hint
  5.   Determine if the rates are equivalent. Explain your reasoning.

4 sweatshirts for $72; 2 sweatshirts for $36
    A. The numerator and denominator are divided by the same number, so the rates are equivalent. B. The numerator and denominator are divided by the same number, so the rates are not equivalent.
    C. The numerator and denominator are not divided by the same number, so the rates are not equivalent. D. The numerator and denominator are not divided by the same number, so the rates are equivalent.
    Hint