Question

under his cell phone plan, logan pays a flat cost of $58 per month and $3 per gigabyte. he wants to keep his bill under $70 per month. use the drop - down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget. answer attempt 1 out of 2 g

Explanation:

Step1: Set up the cost - function

The total cost of Logan's cell - phone plan is the sum of the flat cost and the cost per gigabyte. The flat cost is $58$ and the cost per gigabyte is $3g$ (where $g$ is the number of gigabytes). So the total cost $C = 58+3g$.

Step2: Write the inequality

He wants to keep his bill under $70$. So we write the inequality $58 + 3g<70$.

Step3: Solve the inequality for $g$

Subtract $58$ from both sides: $3g<70 - 58$, which simplifies to $3g<12$. Then divide both sides by $3$: $g < 4$.

Answer:

$g<4$