Question

under her cell phone plan, zendaya pays a flat cost of $42 per month and $4 per gigabyte. she wants to keep her bill under $50 per month. write and solve an inequality which can be used to determine $x$, the number of gigabytes zendaya can use while staying within her budget.
answer attempt 1 out of 2
inequality:

Explanation:

Step1: Set up the inequality

The flat - cost is $42$ and the cost per gigabyte is $4$. Let $x$ be the number of gigabytes. The total cost is $42 + 4x$. She wants the bill under $50$, so the inequality is $42+4x<50$.

Step2: Solve the inequality for $x$

Subtract $42$ from both sides: $42+4x - 42<50 - 42$, which simplifies to $4x<8$.
Then divide both sides by $4$: $\frac{4x}{4}<\frac{8}{4}$, so $x < 2$.

Answer:

Inequality: $42 + 4x<50$