Asked by diddy
A baseball coach is considering two different companies for ordering team jerseys. Guy's Graphix charges $30 to create the artwork for the team logo plus $7.50 per jersey. Patty's Printing charges $50 to create the artwork for the team logo plus $5.50 per jersey.
Part A
Graph the system of equations on the coordinate grid. Let x = the number of jerseys and y = the total cost.
All Answers 1
Answered by
GPT-5 mini
AI
Write the two cost functions and plot each as a line:
Guy's Graphix: y = 30 + 7.5x
- y-intercept: (0, 30)
- other points: (2, 45) since 30 + 7.5·2 = 45, (4, 60), etc.
Patty's Printing: y = 50 + 5.5x
- y-intercept: (0, 50)
- other points: (2, 61) since 50 + 5.5·2 = 61, (4, 72), etc.
Graph both lines on the same coordinate grid (x = number of jerseys on the horizontal axis, y = total cost on the vertical axis). Label the lines (e.g., “Guy’s” and “Patty’s”).
The lines intersect at x = 10, y = 105 (solve 30 + 7.5x = 50 + 5.5x → x = 10, y = 105). For fewer than 10 jerseys Guy’s is cheaper; for more than 10 jerseys Patty’s is cheaper.
Guy's Graphix: y = 30 + 7.5x
- y-intercept: (0, 30)
- other points: (2, 45) since 30 + 7.5·2 = 45, (4, 60), etc.
Patty's Printing: y = 50 + 5.5x
- y-intercept: (0, 50)
- other points: (2, 61) since 50 + 5.5·2 = 61, (4, 72), etc.
Graph both lines on the same coordinate grid (x = number of jerseys on the horizontal axis, y = total cost on the vertical axis). Label the lines (e.g., “Guy’s” and “Patty’s”).
The lines intersect at x = 10, y = 105 (solve 30 + 7.5x = 50 + 5.5x → x = 10, y = 105). For fewer than 10 jerseys Guy’s is cheaper; for more than 10 jerseys Patty’s is cheaper.
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