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

18 hours in 6 days; 28 hours in 7 days
    A. The rates 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 not equivalent. D. The rates do not have the same unit rate, so they are 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 not 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 equivalent. D. Since the rates have the same unit rate, they are not equivalent.
    Hint
  3.   Corbin earned $90 by working 10 hours at a grocery store. He earned $60 by working 6 hours at the library. Are these rates equivalent? Explain your reasoning.
    A. Since the rates have the same unit rate, Corbin’s pay rates were not equivalent. B. Since the rates have the same unit rate, Corbin’s pay rates were equivalent.
    C. Since the rates do not have the same unit rate, Corbin’s pay rates were not equivalent. D. Since the rates do not have the same unit rate, Corbin’s pay rates were equivalent.
    Hint
  4.   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
  5.   Determine if the ratios are equivalent. Explain your reasoning.

14 out of 25 people ordered pizza; 56 out of 100 people ordered pizza
    A. The numerator and denominator are multiplied by the same number, so the ratios are equivalent. B. The numerator and denominator are not multiplied by the same number, so the ratios are not equivalent.
    C. The numerator and denominator are multiplied by the same number, so the ratios are not equivalent. D. The numerator and denominator are not multiplied by the same number, so the ratios are equivalent.
    Hint