Question

So far you know that, for Bryan's band, c=5.50n +25o is a good model for the relationship between the number of t-shirts printed and the total cost. What is the meaning of the y-intercept of the graph of this function in the context of the problem situation?

Answer 1

The y-intercept in the equation c=5.50n + 25o represents the initial fixed cost for Bryan's band t-shirt printing, which they must pay regardless of the number of shirts printed.

Step-by-step explanation:

The y-intercept in the context of the equation c=5.50n + 25o for Bryan's band represents the fixed cost associated with printing t-shirts, regardless of how many shirts are printed. The y-intercept is where the plot line crosses the y-axis when the value of n (the number of t-shirts) is zero. Hence, if Bryan's band doesn't print any t-shirts, the total cost (c) would still be the y-intercept value. In this case, the cost equation shows that the y-intercept is 25o, which suggests that there is a fixed cost of 25 times o dollars before any t-shirts are printed. This could represent the setup cost, design fees, or rent that needs to be paid regardless of the number of t-shirts produced.