6. 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 be proportional and the second non proportional. How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?
To transform the first graph into a non-proportional graph with the same y-intercept as the second graph, you can introduce a fixed fee to the first graph.
Let's say the y-intercept of both graphs is $20 (which represents the set-up fee). In the first graph, there are no additional fees apart from the $12 per t-shirt cost. To make it non-proportional with the same y-intercept, we can introduce a fixed fee equal to the y-intercept of $20.
So, the equation for the transformed graph would be y = $12x + $20, where y represents the cost and x represents the number of t-shirts.
This way, the transformed equation has the same y-intercept as the second graph ($20) but does not remain proportional because it raises by a constant $20 regardless of the number of t-shirts ordered.
How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph? (1 point) Responses Up 1 Up 1 Left 1 Left 1 Left 20 Left 20 Right 1 Right 1 Right 20 Right 20 Up 20
To transform the first graph into a non-proportional graph with the same y-intercept as the second graph, you would need to shift the first graph vertically by adding a fixed fee. The fixed fee should be equal to the y-intercept of the second graph, which is $20.
So, each point on the transformed graph would be shifted upwards by $20 compared to the original graph. This means that for each x-value (number of t-shirts), the y-value (cost) would be increased by $20.
The transformation would be Up 20.
28 divided by 3
58 divided by 8
82 divided by 12
106 divided by 16
28 divided by 3 = 9.333...
58 divided by 8 = 7.25
82 divided by 12 = 6.833...
106 divided by 16 = 6.625
16 divided by 2
40 divided by 5
96 divided by 12
160 divided by 20
16 divided by 2 = 8
40 divided by 5 = 8
96 divided by 12 = 8
160 divided by 20 = 8
1 divided by 0
9 divided by 4
17 divided by 8
1 divided by 0 is undefined since division by zero is not defined in mathematics.
9 divided by 4 is 2.25.
17 divided by 8 is 2.125.