1) 38,000
2) The y-intercept represents the base pay of Adam's annual salary. It is the amount of money he would earn even if he had no sales.
3) 0.28
4) The slope represents the commission rate that Adam earns on his sales. For every dollar of sales, he earns 28 cents in commission.
5) To find the total sales, we can rearrange the equation and solve for x.
0.28x + 38,000 = 45,000
0.28x = 45,000 - 38,000
0.28x = 7,000
x = 7,000 / 0.28
x = 25,000
Therefore, Adam's total sales for the year was $25,000.
Adam calculates his annual salary (base pay and commission), y, using the model y=0.28x+38,000, where x represents his total sales for the year.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1) What is the y-intercept?
2) What does the y-intercept mean in context?
3) What is the slope?
4) What does the slope mean in context?
5) If Adam made $45,000 total annual salary, how much was his total sales?
11 answers
The equation of a line is given by Ax + By = C. Solve for y.(1 point)
Responses
y=C−Ax
y is equal to cap c minus cap A x
y=C−Ax/B
y is equal to cap c minus cap A x over cap b
y=B(C−Ax)
y is equal to cap b times open paren cap c minus cap A x close paren
y=C/B−Ax/B
Responses
y=C−Ax
y is equal to cap c minus cap A x
y=C−Ax/B
y is equal to cap c minus cap A x over cap b
y=B(C−Ax)
y is equal to cap b times open paren cap c minus cap A x close paren
y=C/B−Ax/B
y = (C - Ax) / B
Which of the following represents a linear function with the same slope as the table below? *Select 2 that apply!
(2 points)
Responses
Cynthia has $200 in her savings account and spends $3 per day on coffee.
Cynthia has $200 in her savings account and spends $3 per day on coffee.
6x−2y=12
6 x minus 2 y is equal to 12
James increases his muscle mass by 3 kg per day.
James increases his muscle mass by 3 kg per day.
(2 points)
Responses
Cynthia has $200 in her savings account and spends $3 per day on coffee.
Cynthia has $200 in her savings account and spends $3 per day on coffee.
6x−2y=12
6 x minus 2 y is equal to 12
James increases his muscle mass by 3 kg per day.
James increases his muscle mass by 3 kg per day.
The correct responses are:
1) Cynthia has $200 in her savings account and spends $3 per day on coffee.
2) James increases his muscle mass by 3 kg per day.
1) Cynthia has $200 in her savings account and spends $3 per day on coffee.
2) James increases his muscle mass by 3 kg per day.
u sure
Apologies for the mistake in the previous response.
The correct responses are:
1) Cynthia has $200 in her savings account and spends $3 per day on coffee.
2) James increases his muscle mass by 3 kg per day.
3) None of the above options capture the same slope as the table below.
The correct responses are:
1) Cynthia has $200 in her savings account and spends $3 per day on coffee.
2) James increases his muscle mass by 3 kg per day.
3) None of the above options capture the same slope as the table below.
The equation of Line 1: 2x−4y=16
The equation of Line 2: y=−34x−3
The equation of Line 3: y−5=−2(x+1)
Which statement is true?
(2 points)
Responses
Line 3 has a decreasing graph.
Line 3 has a decreasing graph.
Line 3 has the least steep slope.
Line 3 has the least steep slope.
Line 2 has the biggest y-intercept.
Line 2 has the biggest y-intercept.
Line 1 has the biggest y-intercept.
Line 1 has the biggest y-intercept.
Line 1 has the steepest slope.
Line 1 has the steepest slope.
Line 2 has an increasing graph.
The equation of Line 2: y=−34x−3
The equation of Line 3: y−5=−2(x+1)
Which statement is true?
(2 points)
Responses
Line 3 has a decreasing graph.
Line 3 has a decreasing graph.
Line 3 has the least steep slope.
Line 3 has the least steep slope.
Line 2 has the biggest y-intercept.
Line 2 has the biggest y-intercept.
Line 1 has the biggest y-intercept.
Line 1 has the biggest y-intercept.
Line 1 has the steepest slope.
Line 1 has the steepest slope.
Line 2 has an increasing graph.
The correct response is:
Line 1 has the steepest slope.
Line 1 has the steepest slope.
Ryan is tracking how much money he has each week.
He started with $50.
He saves $15 per week for the first 6 weeks.
He spent $10 per week after week 6 until the money's all spent.
(4 points)
1) The graph of this scenario would be
because the rate of change changes.
2) The y-intercept of this graph would be
meaning
.
3) The rate of change is
after the first 6 weeks because as the weeks increase the money decreases.
He started with $50.
He saves $15 per week for the first 6 weeks.
He spent $10 per week after week 6 until the money's all spent.
(4 points)
1) The graph of this scenario would be
because the rate of change changes.
2) The y-intercept of this graph would be
meaning
.
3) The rate of change is
after the first 6 weeks because as the weeks increase the money decreases.
1) The graph of this scenario would be a piecewise function with a horizontal line at y = 50 for the first 6 weeks, followed by a line with a negative slope for the weeks after. This is because the rate of change changes after the first 6 weeks.
2) The y-intercept of this graph would be 50, meaning that Ryan started with $50.
3) The rate of change is -10 after the first 6 weeks because as the weeks increase, the money decreases by $10 per week.
2) The y-intercept of this graph would be 50, meaning that Ryan started with $50.
3) The rate of change is -10 after the first 6 weeks because as the weeks increase, the money decreases by $10 per week.