Question

under her cell phone plan, mei mei pays a flat cost of $46 per month and $5 per gigabyte. she wants to keep her bill under $70 per month. write and solve an inequality which can be used to determine g, the number of gigabytes mei mei can use while staying within her budget.

Explanation:

Step1: Define total cost

The total cost is the flat cost plus the cost per gigabyte times the number of gigabytes. So total cost \( C = 46 + 5g \). She wants \( C < 70 \), so the inequality is \( 46 + 5g < 70 \).

Step2: Solve the inequality

Subtract 46 from both sides: \( 5g < 70 - 46 \)
Simplify: \( 5g < 24 \)
Divide both sides by 5: \( g < \frac{24}{5} = 4.8 \)

Answer:

Inequality: \( 46 + 5g < 70 \)
\( g < 4.8 \)