Question

The Bayer family just left the local pet store with Rover, their new family dog. The pet store owner told the Bayer family that for the next 6 months, Rover would grow at an average rate of 7 pounds per month. Currently, Rover is 2 months old and weighs 4 pounds.
Age, in months 2 3 4 5 6 7 8
Weight, in pounds 4

Part A: Complete the given table that represents Rover’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 Rover’s current weight, in pounds, as a function of his age, in months.

Part D: If Rover continues to grow at the rate of 7 pounds per month beyond the expected six months, how much will Rover weight by the time he is one year old?

Answer 1

Answer:

A. Complete table below

B. Graph is attached below

C. y = 7x - 10

D. 60 pounds.

Step-by-step explanation:

We are given that, Bayer would grow at an average rate of 7 pounds per month.

So, in order to complete the table, we will add 7 to the weights column.

Part A: Thus, we get the following table.

Age, in months           2,      3,      4,       5,       6,        7,        8

Weight, in pounds      4,      11,      18,      25,    32,      39,     46.

Part B: Since, we have the ordered pairs (x,y) given by,

(2,4), (3,11), (4,18), (5,25), (6,32), (7,39) and (8,46).

The graph is shown below.

Part C: Taking any two pairs say (2,4) and (3,11).

We get the slope is, $\frac{11-4}{3-2}$ i.e. slope is 7.

Then, y = mx + b gives, 4 = 7×2 + b i.e. b = 4-14 i.e. b = -10.

Hence, the linear model is given by 'y=7x-10', where x is the age(in months) and y is the weight(in pounds).

Part D: Now, we want to find the weight when Bayer is one year old.

Since, we have that, Bayer is already two months old.

So, we need to find weight when Bayer is 10 months old.

i.e. y=7x-10 ⇒ y = 7×10-10 ⇒ y = 70-10 ⇒ y=60

Hence, Bayer will be 60 pounds when he is one year orld.