Question

The band needs to make at least 900
.
Which inequality represents this situation?



How many weekend shows must the band perform to make at least 900
?

Answer 1

I don’t have the pay rates or any other income the band gets, so I can’t write the exact inequality yet. Here’s the general method you can apply — and an example.

General:
- Let w = number of weekend shows.
- If weekend shows pay b dollars each and the band has other income of A dollars (from weekday shows or other sources), the inequality for “at least 900” is
A + b·w ≥ 900.
- Solve for w: w ≥ (900 − A) / b. Since w must be a whole number, round up to the next integer.

If weekend shows are the only income (A = 0):
- b·w ≥ 900 → w ≥ 900 / b → w = ceiling(900 / b).

Example (if each weekend show pays $120):
- 120w ≥ 900 → w ≥ 900/120 = 7.5 → w = 8 weekend shows.

Tell me the dollar amounts (weekend pay b and any other income A) and I’ll give the exact inequality and the number of weekend shows needed.