One business charges $22 per T-shirt that is custom made. Another business charge is $16 per day surplus a $15 said if a forecast of my T-shirts how would you transform the first graph to make it become a non-proportional graph with the same y-intercept as a second graph.

Answer 1

To transform the first graph into a non-proportional graph with the same y-intercept as the second graph, we need to introduce a fixed cost to the first business' pricing model. This fixed cost will ensure that the graph does not remain directly proportional.

Let's assume that the second business charges a fixed cost of $x per purchase in addition to the daily surplus charge of $16. In this case, the equation for the second business' pricing model can be written as:

Cost = $16/day + $15 + $x

Now, to make the first graph non-proportional but with the same y-intercept as the second graph, we need to determine the fixed cost to add to the first business' pricing model.

Since the y-intercept represents the cost when no T-shirts are purchased, we can equate the y-intercepts of both the first and second graphs.

For the first business, the y-intercept is at $0, as there is no fixed cost mentioned. Therefore, the equation for the first business' pricing model is simply:

Cost = $22/T-shirt

Setting this equation equal to the y-intercept of the second graph, which is $15, we have:

$22/T-shirt = $15

Solving for T-shirt, we find:

T-shirt = $15 * (1/$22) ≈ 0.682

Rounding to the nearest whole number, we get T-shirt = 1.

This indicates that the first business charges $22 per T-shirt and has a y-intercept of $0 (no fixed cost).

Now, to have the same y-intercept as the second graph, which is $15, we need to add a fixed cost of $15 to the first business' pricing model. Thus, the transformed equation for the first business' pricing model becomes:

Cost = $22/T-shirt + $15

With this modification, the first graph becomes non-proportional with the same y-intercept as the second graph.