You are painting all four walls of a shed. Each wall is a rectangle with a length of 14 feet and a height of 8 feet. A gallon of
1 answer:
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A. The linear equation is: y = 60x + 45
B. The graphed equation is shown in the attachment below.
<h3>What is a Linear Equation?</h3>A linear equation is defined as, y = mx + b, where the initial value = b; unit rate = m; x and y are the variables.
A. In this situation given, we have:
- Total cost = y
- Number of months = x
- Monthly charges = unit rate (m)= $60
- Initial value (b) = $45
Substituting the values into y = mx + b, we would have the equation as:
y = 60x + 45
B. The graph of the equation is shown in the image attached below.
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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, <em>we will add 7 to the weights column</em>.
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, 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.
