Question

The Carter family just left the local pet store with Rex, their new family dog. The pet store owner told the Carter family that for the next 6 months, Rex would grow at an average rate of 9 pounds per month. Currently, Rex is 2 months old and weighs 6 pounds.

Age, in months 2 3 4 5 6 7 8
Weight, in pounds 6
Part A: Complete the given table that represents Rex’s current weight, in pounds, as a function of his age, in months

Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points.
Part C: Create a linear model that represents the Rex’s current weight, in pounds, as a function of his age, in months.

Part D: If Rex continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Rex weight by the time he is one year old?

Answer 1

A.)

In 2 months, Rex is 6 pounds and in 8 months he's 9lbs (from 2 to 8 is 6 months). So I inferred that to get to 9lbs from 6lbs is to go 0.5 pounds more each month.

B.)

2 = 6

3 = 6.5

4 = 7

5 = 7.5

6 = 8

7 = 8.5

8 = 9

C.) I don't think I can create a linear model here. So I don't think its nessesary.

D.)

If Rex were to grow over the expected 6 months, it would be 45.