100 POINTS if it is wrong i will delete your answer! Calculating Monthly Expenses
1 answer:
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We have been given a system of equations. and
. We are asked to find the solution of our given system of equations.
The solution of our given system of equations will be the point, where both lines will intersect.
To find intersection point, we will equate both equations as:
Now we will substitute in equation
and solve for y.
Therefore, the point is the solution of our given system of equations.
We can verify our answer by graphing both equations.
Answer:
The weight in x weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.
Step-by-step explanation:
Given:
A proportional relationship is one in which one variable varies directly with the other. Let the dependent variable be y and independent variable be y.
If y is directly proportional to x, then,
, where, k is a constant of proportionality.
Now, let us check each option and try to express a relationship between them.
Option 1:
The weight in weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.
Let the weight be represented by . Initial weight is 8 pounds.
Weight gain per week is 2 pounds. So, weight gain in weeks is
.
Therefore, total weight is,
This is a linear relationship but not a proportional relationship as it is not of the form . So, option 1 could NOT represent a proportional relationship.
Option 2:
Cost of purchasing 1 pound of bananas is $ 0.55. So, cost of purchasing pounds of bananas will be
. It is of the form
. So, it represents a proportional relationship.
Option 3:
Number of gallons of water in 1 barrel is 50. So, number of gallons in barrels will be
. It is of the form
. So, it represents a proportional relationship.
Option 4:
Amount earned by an employee in 1 hour is $ 9.25. So, amount earned in hours will be
. It is of the form
. So, it represents a proportional relationship.