1. The problem asks to determine if each table represents a linear relation using first differences. 2. For table a), list the y-values: 0, 1, 8, 27, 64. Calculate the first differences: $1 - 0 = 1$ $8 - 1 = 7$ $27 - 8 = 19$ $64 - 27 = 37$ Since the first differences are not constant (1, 7, 19, 37), table a) does not represent a linear relation. 3. For table b), list the y-values: 1, 3, 5, 7, 9. Calculate the first differences: $3 - 1 = 2$ $5 - 3 = 2$ $7 - 5 = 2$ $9 - 7 = 2$ Since the first differences are constant (2, 2, 2, 2), table b) represents a linear relation. Final answers: - Table a) is not linear. - Table b) is linear.