Felipe earns $9 per hour for helping his grandmother with her yard work. Write and solve a multiplication equation to find how m
1 answer:
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Answer:
The correct option is;
B. 10,600; 2,650; About 10,600 people visited the website in May. About 2,650 people visited the website in March
Step-by-step explanation:
The given parameters are;
The number of people that visit the website every month = 2 × The number of people that visited the website the previous month
The number of people that visit the website during May ≈ 10,600
The number of visitors of the website are given by the expression 10,600 ×
For t = 0, we have;
The number of visitors of the website = 10,600 × 2⁰ = 10,600
For t = -2, we have;
The number of visitors of the website = 10,600 × 2⁻² = 2,650
Therefore, the website had about 10,650 visitors in May and about 2,650 visitors in 2 months earlier in March.
To get the solution of a set of equations means to get a point that satisfies both equations.
Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case
Part (2):
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutions
Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.
Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case
Part (2):
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line.
Therefore, we have infinite number of solutions
Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.