Josiah takes a multiple-choice quiz that has three questions. Each question has five answer options. If he randomly chooses his
2 answers:
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Answer:
If number of t-shirts is greater than 25 then Print-o-roma else Value t's and More
Step-by-step explanation:
<u>Note:</u> The complete question is attached in the image below
Print-o-toma store:
Print-o-roma charges a set-up fee plus a fixed price for each shirt. From the table we can see that the cost to order 10 shirts is $95 and for 50 shirts is $ 375. Using these two data points we can calculate the equation which can show the cost of x t-shirts from Print-o-roma. For this first we need to calculate the slope. Slope is defined as:
Using the two points: (10, 95) and (50, 375), we get:
This means, slope of the line is 7. Using the point slope form of the equation of a line with m = 7 and point (10, 95), we get:
y - 95 = 7(x - 10)
y = 7x - 70 + 95
y = 7x + 25
Here,
Slope(7) represents the fixed cost of each shirt ordered and y-intercept(25) represents the set-up cost.
Value t's and More Store:
Value t's and More charges $8 per shirt with no set up charges. So for x shirts, this store will charge $ 8x. i.e. total cost y would be:
y = 8x
Comparison:
Since Print-o-roma charges $7 per shirt, in long run and for large orders this company would be a better choice. We can find after how many shirts will Print-o-roma charge overall lesser price than Value t's and More:
Cost of Print-o-roma ≤ Cost of Value t's and More
7x + 25 ≤ 8x
25 ≤ x
This can also be written as:
x ≥ 25
This means, for 25 t-shirts the charges of both stores would be the same. But if the number of t-shirts is more than 25, Print-o-roma will be charging lesser price to print the shirts.
