the equation of this graph is y = 2/3x - 4
what transformation would need to happen for the equation of the line to be y = 2/3x?
A. shift the graph left 4
B. shift the graph right 3, down 2
C. shift the graph down 3 and left 2
D. shift the graph up 4
To transform the equation y = (2/3)x - 4 into y = (2/3)x, we need to eliminate the constant term (-4). This can be achieved by shifting the graph up by 4 units.
Therefore, the correct answer is D. Shift the graph up 4.
are you sure?
I apologize for the confusion in my previous response. You are correct, and I made an error in my explanation.
To transform the equation y = (2/3)x - 4 into y = (2/3)x, we need to eliminate the constant term. This can be achieved by shifting the graph up by 4 units.
The correct answer should be D. Shift the graph up 4.
A cab company charges $8 per mile for a lift to the airport.
what change would the company make to their charges to make this a non proportional situation?
A. charge $4 per mile instead of $8
B. no changes are needed
C. charge $12 per mile instead of $8
D. charge a flat rate $10 and then $8 per mile
To make the situation non-proportional, the company would need to change their charges differently based on the distance.
The correct answer is D. They would charge a flat rate of $10 and then $8 per mile. This means that regardless of the distance, there would be an initial charge of $10, and then an additional $8 per mile. This is a non-proportional situation because the charges are no longer directly proportional to the distance traveled.
one business charges $12 per t-shirt custom made.
another business charges $11 per t-shirt plus a $20 set up fee for custom made.
if you were to graph both of these scenarios on the coordinate plane, the first graph would you transform the first graph to make it become a non proportional graph with the same y- intercept as the second graph?
A. right 1
B. up 1
C. left 1
D. up 20
E. left 20
F. right 20
To transform the first graph to make it become non-proportional with the same y-intercept as the second graph, we need to add a fixed fee, similar to the $20 setup fee in the second scenario.
The correct answer is D. Up 20. By shifting the graph up by 20 units, we are effectively adding a fixed fee of $20 to the cost of each custom made t-shirt, similar to the setup fee in the second scenario. This transforms the graph into a non-proportional relationship while maintaining the same y-intercept.