August 2023 Algebra 1 Regents Part IV

This exam was adminstered in August 2023.

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August 2023

Part IV: A correct answer will receive 6 credits. Partial credit can be earned.


37. Lydia wants to take art classes. She compares the cost at two art centers. Center A charges $25 per hour and a registration fee of $25. Center B charges $15 per hour and a registration fee of $75. Lydia plans to take x hours of classes.

Write an equation that models this situation, where A represents the total cost of Center A.

Write an equation that models this situation, where B represents the total cost of Center B

If Lydia wants to take 10 hours of classes, use your equations to determine which center will cost less.

Graph your equations for Center A and Center B on the set of axes below.

Answer:

For Center A: y = 25x + 25

For Center B: y = 15x + 75

Substitute x = 10 into each equation:

A: y = 25(10) + 25 = 275
B: y = 15(10) + 75 = 225

Center B will cost less to take 10 hours of classes.

The graph is below:

End of Exam

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