Question

The table below shows the linear relationship between the number of weeks since birth and the weight of Samuel’s pet rabbit. Based on the table, what is the rate of change of the weight of the rabbit in pounds per week? Write your answer as a whole number or a decimal.

Answer 1

1.75 is the answer

Explanation:

Suppose our linear equation is y = k × tb

We need to substitute , 1.95 and 3.13 into y = k × tb

9.5 = ktb 3.5 = 2k ⇒ k = 1.75

13 = 3ktb 9.5 = 1.75tb ⇒ b = 7.75

Equation now equals y = 1.75 × tb

Rate of change of the rabbit per week: 1.75

1.75 is the answer