Consider the data shown on the graph. • The y-intercept represents a starting salary of $____ for a new employee. • The slope represents an additional $_____ in salary for each additional year of employment. • If the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = _____x + _____. • If the yearly salary increase is changed to $____ , the new equation would be y = ______x +_______
BANK: Move to Bottom 2,500
2,500
3,000
3,000
32,500
32,500 .
Can someone please help me
To answer the questions based on the given data:
1. The y-intercept represents a starting salary of $____ for a new employee.
Based on the data, the y-intercept is located at $32,500.
2. The slope represents an additional $_____ in salary for each additional year of employment.
To calculate the slope, we need to find the change in salary (which is the change in y-values) divided by the change in employment (which is the change in x-values).
Change in salary = $32,500 - $2,500 = $30,000
Change in employment = 5 years - 0 years = 5 years
Slope = Change in salary / Change in employment
Slope = $30,000 / 5 = $6,000
Thus, the slope represents an additional $6,000 in salary for each additional year of employment.
3. If the starting salary for a new employee is changed to $35,000 and the yearly salary increase is unchanged, the new equation would be y = _____x + _____.
When the starting salary is changed to $35,000, the y-intercept value in the equation changes. Therefore, the new equation would be:
y = $35,000 + $6,000x
4. If the yearly salary increase is changed to $____, the new equation would be y = ______x + ______.
To find the new equation when the yearly salary increase is changed, we need to replace the slope value in the equation. Using the new yearly salary increase of $____, the new equation would be:
y = $35,000 + $____x + _____
To find the answers to these questions, we can analyze the given data and use the equation of a straight line, which is in the form y = mx + b, where y represents the salary, x represents the years of employment, m represents the slope, and b represents the y-intercept.
1. The y-intercept represents the starting salary of a new employee. Looking at the graph, we can see that the y-intercept is $2,500.
2. The slope represents the additional salary for each additional year of employment. Examining the graph, we can see that for every additional year of employment, the salary increases by $3,000. Therefore, the slope is $3,000.
3. If the starting salary for a new employee is changed to $35,000 and the yearly salary increase remains unchanged, we can use this new starting salary and the previously calculated slope to determine the new equation. Plugging in the values into the equation y = mx + b, the new equation would be y = $3,000x + $35,000.
4. If the yearly salary increase is changed to a different value, we need to consider the new slope. Let's assume that the new yearly salary increase is $2,500. Substituting this value into the equation y = mx + b, the new equation would be y = $2,500x + $2,500.
To summarize:
• The y-intercept represents a starting salary of $2,500 for a new employee.
• The slope represents an additional $3,000 in salary for each additional year of employment.
• If the starting salary for a new employee is changed to $35,000 and the yearly salary increase remains unchanged, the new equation would be y = $3,000x + $35,000.
• If the yearly salary increase is changed to $2,500, the new equation would be y = $2,500x + $2,500.
the answers are
• The y-intercept represents the base price of $ (200) for airfare from NYC.
• The slope represents a cost of (30) cents per mile traveled.
• If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be (y=50+0.30x)
• If the cost per mile changed to 50 cents, the new equation would be (Y=200+0.50x)
You're welcome :3