Question

1. two cell phone plans charge based on data usage. plan a: $y = 10x+50$ (a $50 monthly fee plus $10 per gb) plan b: $y = 20x$ (no monthly fee, $20 per gb) at what data usage amount will both plans cost the same? a. (5, 100) b. (2, 80) c. (6, 120) d. (4, 90)

Explanation:

Answer:

To find when the two plans cost the same, set the two equations equal to each other:
\[10x + 50=20x\]
\[50 = 20x-10x\]
\[50 = 10x\]
\[x = 5\]
Substitute \(x = 5\) into \(y = 20x\) (or \(y=10x + 50\)), \(y=20\times5=100\)

The answer is a. \((5,100)\)