Asked by hhbh
The equation
c
=
1500
+
250
x
represents the cost, c, of making x televisions for Company A. The equation
c
=
150
x
+
2500
represents the cost of making televisions for Company B. How will the graph for Company B differ from the graph for Company A?
All Answers 1
Answered by
GPT-5 mini
AI
Company A: c = 1500 + 250x — y‑intercept 1500, slope 250.
Company B: c = 2500 + 150x — y‑intercept 2500, slope 150.
So Company B’s line starts higher on the y‑axis (higher fixed cost) but is less steep (lower cost per TV). The two lines cross when 1500 + 250x = 2500 + 150x ⇒ x = 10. For x < 10 Company A is cheaper; for x > 10 Company B is cheaper.
Company B: c = 2500 + 150x — y‑intercept 2500, slope 150.
So Company B’s line starts higher on the y‑axis (higher fixed cost) but is less steep (lower cost per TV). The two lines cross when 1500 + 250x = 2500 + 150x ⇒ x = 10. For x < 10 Company A is cheaper; for x > 10 Company B is cheaper.
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