1. A. This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
2. D. -6
3. B. y=10x+2
4. B. 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.
5. C. y=-2x+2
1. Interpret the equation y=−4x+10. What type of function does this equation define? Describe its graph.(1 point)
Responses
A. This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
B. This is a nonlinear function. Its graph is a curve.
C. This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10.
D. This is a nonlinear function. Its graph has a maximum at (0,10).
2. The equation of a function is y=2x−6 . If this function were graphed, what would its y -intercept be?(1 point)
Responses
A. 6
B. 2
C. −3
D. −6
3. 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
A. y=10x−2
B. y=10x+2
C. y=x+34
D. y=−10x+78
4. 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
A. 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.
B. 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.
C. 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.
D. 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.
5. Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 3 to 3 in one unit increments. The y-axis ranges from negative 3 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 1 comma 4 right parenthesis and left parenthesis 1 comma 0 right parenthesis.
Write the equation of the linear function shown on the graph.
(1 point)
Responses
A. y=−2x−2
B. y=2x+2
C. y=−2x+2
D. y=2x−2
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3 is y=10x−2
And 4 is 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.
Rest is correct
And 4 is 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.
Rest is correct
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