Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s cha
rge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result?
2 answers:
The graph that represents possible functions is shown in the diagram below. Point C shows the point on y-axis where f(x) and g(x) crosses. The result should be interpreted by the level of steepness of each slope
g(x) has a steeper gradient than f(x) and this indicates steeper fee rise for producing the T-shirt. So if Marissa is to choose the better value for her money to produce T-shirt, she should choose the function f(x) providing there are no other factors to consider other than prices.
g(x) has a steeper gradient than f(x) and this indicates steeper fee rise for producing the T-shirt. So if Marissa is to choose the better value for her money to produce T-shirt, she should choose the function f(x) providing there are no other factors to consider other than prices.
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Answer:
Option C.
Step-by-step explanation:
In △ONM and △SRQ,
We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.
According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.
It is given that . So, both triangles are similar by SAS if
Substitute the given values.
Divide both sides by 8.
Therefore, the correct option is C.