Interpret the equation y=−4x+10 . What type of function does this equation define? Describe its graph.(1 point)
Responses
This is a nonlinear function. Its graph is a curve.
This is a nonlinear function. Its graph is a curve.
This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10.
This is a linear function. Its graph is a straight line with a y -intercept of negative 4 and a slope of 10.
This is a nonlinear function. Its graph has a maximum at (0,10).
This is a nonlinear function. Its graph has a maximum at left parenthesis 0 comma 10 right parenthesis .
This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10.
The equation of a function is y=2x−6 . If this function were graphed, what would its y -intercept be?(1 point)
Responses
−3
negative 3
−6
negative 6
6
6
2
The y-intercept of the function y=2x-6 is -6
Write the equation of the linear function that models the relationship shown in the table.
(1 point)
Responses
y=x+34
y equals x plus 34
y=−10x+78
y equals negative 10 x plus 78
y=10x−2
y equals 10 x minus 2
y=10x+2
Without the specific values in the table, it is not possible to determine the correct equation of the linear function that models the relationship.
Equations of Linear Functions Quick Check
3 of 53 of 5 Items
Question
Use the table to answer the question.
x y
4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.
(1 point)
Responses
y=x+34
y equals x plus 34
y=−10x+78
y equals negative 10 x plus 78
y=10x−2
y equals 10 x minus 2
y=10x+2
To find the equation of the linear function that models the relationship in the table, we can use the formula for the slope-intercept form of a line: y = mx + b. The slope (m) can be found by taking the difference in y-values and dividing it by the difference in x-values: (58-38)/(6-4) = 20/2 = 10. The y-intercept (b) can be found by substituting the slope and one of the points into the equation: 38 = 10(4) + b. Solving for b gives: 38 = 40 + b, b = -2. Therefore, the equation of the linear function is y = 10x - 2.
So the correct response is: y = 10x - 2.
Oliwia is opening a bank account. She learns that there is a special promotion where if she deposits $3,000 and then makes no additional deposits or withdrawals, her account will earn $3 in interest per month. Write the equation of a linear function that models the relationship between number of months and total amount of money Oliwia will have in her account.(1 point)
Responses
y=3,000x+3, where x is the number of months and y is the total amount of money Oliwia will have in her account.
y equals 3,000 x plus 3 , where x is the number of months and y is the total amount of money Oliwia will have in her account.
y=3x+3,000, where x is the number of months and y is the total amount of money Oliwia will have in her account.
y equals 3 x plus 3,000 , where x is the number of months and y is the total amount of money Oliwia will have in her account.
y=1,000x+3, where x is the number of months and y is the total amount of money Oliwia will have in her account.
y equals 1,000 x plus 3 , where x is the number of months and y is the total amount of money Oliwia will have in her account.
y=3x+1,000, where x is the number of months and y is the total amount of money Oliwia will have in her account.
The correct equation of the linear function that models the relationship between the number of months and the total amount of money Oliwia will have in her account is y=3,000x+3, where x is the number of months and y is the total amount of money.
So the correct response is: y=3,000x+3, where x is the number of months and y is the total amount of money Oliwia will have in her account.
Which is the purpose of writing an argument? (1 point)
Responses
to allow readers to come to their own conclusions about a topic
to allow readers to come to their own conclusions about a topic
to persuade readers to agree with the author's opinion
to persuade readers to agree with the author's opinion
to plan what evidence a reader will want to read on a topic
to plan what evidence a reader will want to read on a topic
to inform readers about the benefits of a topic