Answer:
see explanation
Step-by-step explanation:
Note the differences in T are constant, that is
55 - 49 = 61 - 55 = 67 - 61 = 73 - 67 = 79 - 73 = 85 - 79 = 91 - 85 = 6
Since the first differences are constant then the relationship between time and Temperature is linear and the constant is a multiplier, that is
T = 6t ± c ← c is a constant
Consider the values of T to determine c
t = 8 → T= 6 × 8 = 48 → require to add 1 for 49
t = 9 → T = 6 × 9 = 54 → require to add 1 for 55
t = 10 → T = 6 × 10 = 60 → require to add 1 for 61
t = 11 → T = 6 × 11 = 66 → require to add 1 for 67
t = 12 → T = 6 × 12 = 72 → require to add 1 for 73
the result is similar for t = 13, 14, 15
Hence
T = 6t + 1 ← is the equation defining the relationship
