Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

tim is choosing between two cell phone plans that offer the same amount…

Question

tim is choosing between two cell phone plans that offer the same amount of free minutes. at&t plan charges $39.99 per month with additional minutes costing $0.45. verizons plan costs $44.99 with additional minutes at $0.40. how many additional minutes, m, will it take for the two plans to cost the same? let____ =__ equation:____

Explanation:

Step1: Define the variable

Let \( m \) = the number of additional minutes.

Step2: Write the cost equations for each plan

The cost of AT&T's plan is \( 39.99 + 0.45m \).
The cost of Verizon's plan is \( 44.99 + 0.40m \).

Step3: Set the two cost equations equal to each other

$$ LATEXBLOCK0 $$

Answer:

Let \( m \) = the number of additional minutes.
Equation: \( 39.99 + 0.45m=44.99 + 0.40m \)
The number of additional minutes \( m = 100 \)